Search results for 'Quantum field theory Congresses' (try it on Scholar)

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  1.  24
    A. Zee (2010). Quantum Field Theory in a Nutshell. Princeton University Press.
    Since it was first published, Quantum Field Theory in a Nutshell has quickly established itself as the most accessible and comprehensive introduction to this profound and deeply fascinating area of theoretical physics. Now in this fully revised and expanded edition, A. Zee covers the latest advances while providing a solid conceptual foundation for students to build on, making this the most up-to-date and modern textbook on quantum field theory available. -/- This expanded edition features (...)
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  2.  20
    Paul Teller (1995). An Interpretive Introduction to Quantum Field Theory. Princeton University Press.
    Quantum mechanics is a subject that has captured the imagination of a surprisingly broad range of thinkers, including many philosophers of science. Quantum field theory, however, is a subject that has been discussed mostly by physicists. This is the first book to present quantum field theory in a manner that makes it accessible to philosophers. Because it presents a lucid view of the theory and debates that surround the theory, An Interpretive (...)
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  3.  54
    David Wallace, Emergence of Particles From Bosonic Quantum Field Theory.
    An examination is made of the way in which particles emerge from linear, bosonic, massive quantum field theories. Two different constructions of the one-particle subspace of such theories are given, both illustrating the importance of the interplay between the quantum-mechanical linear structure and the classical one. Some comments are made on the Newton-Wigner representation of one-particle states, and on the relationship between the approach of this paper and those of Segal, and of Haag and Ruelle.
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  4.  21
    Gábor Hofer-Szabó & Péter Vecsernyés (2012). Reichenbach's Common Cause Principle in Algebraic Quantum Field Theory with Locally Finite Degrees of Freedom. Foundations of Physics 42 (2):241-255.
    In the paper it will be shown that Reichenbach’s Weak Common Cause Principle is not valid in algebraic quantum field theory with locally finite degrees of freedom in general. Namely, for any pair of projections A, B supported in spacelike separated double cones ${\mathcal{O}}_{a}$ and ${\mathcal{O}}_{b}$ , respectively, a correlating state can be given for which there is no nontrivial common cause (system) located in the union of the backward light cones of ${\mathcal{O}}_{a}$ and ${\mathcal{O}}_{b}$ and commuting (...)
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  5.  74
    Sunny Y. Auyang (1995). How is Quantum Field Theory Possible? Oxford University Press.
    Quantum field theory (QFT) combines quantum mechanics with Einstein's special theory of relativity and underlies elementary particle physics. This book presents a philosophical analysis of QFT. It is the first treatise in which the philosophies of space-time, quantum phenomena, and particle interactions are encompassed in a unified framework. Describing the physics in nontechnical terms, and schematically illustrating complex ideas, the book also serves as an introduction to fundamental physical theories. The philosophical interpretation both upholds (...)
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  6.  16
    Miklos Redei & Stephen J. Summers (2002). Local Primitive Causality and the Common Cause Principle in Quantum Field Theory. Foundations of Physics 32 (3):335-355.
    If $\mathcal{A}$ (V) is a net of local von Neumann algebras satisfying standard axioms of algebraic relativistic quantum field theory and V 1 and V 2 are spacelike separated spacetime regions, then the system ( $\mathcal{A}$ (V 1 ), $\mathcal{A}$ (V 2 ), φ) is said to satisfy the Weak Reichenbach's Common Cause Principle iff for every pair of projections A∈ $\mathcal{A}$ (V 1 ), B∈ $\mathcal{A}$ (V 2 ) correlated in the normal state φ there exists (...)
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  7.  60
    Harvey R. Brown & Rom Harré (eds.) (1988). Philosophical Foundations of Quantum Field Theory. Oxford University Press.
    Quantum field theory, one of the most rapidly developing areas of contemporary physics, is full of problems of great theoretical and philosophical interest. This collection of essays is the first systematic exploration of the nature and implications of quantum field theory. The contributors discuss quantum field theory from a wide variety of standpoints, exploring in detail its mathematical structure and metaphysical and methodological implications.
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  8.  36
    Meinard Kuhlmann (2010). Why Conceptual Rigour Matters to Philosophy: On the Ontological Significance of Algebraic Quantum Field Theory. [REVIEW] Foundations of Physics 40 (9):1625-1637.
    I argue that algebraic quantum field theory (AQFT) permits an undisturbed view of the right ontology for fundamental physics, whereas standard (or Lagrangian) QFT offers different mutually incompatible ontologies.My claim does not depend on the mathematical inconsistency of standard QFT but on the fact that AQFT has the same concerns as ontology, namely categorical parsimony and a clearly structured hierarchy of entities.
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  9.  76
    Mark A. Rubin (2002). Locality in the Everett Interpretation of Quantum Field Theory. Foundations of Physics 32 (10):1495-1523.
    Recently it has been shown that transformations of Heisenberg-picture operators are the causal mechanism which allows Bell-theorem-violating correlations at a distance to coexist with locality in the Everett interpretation of quantum mechanics. A calculation to first order in perturbation theory of the generation of EPRB entanglement in nonrelativistic fermionic field theory in the Heisenberg picture illustrates that the same mechanism leads to correlations without nonlocality in quantum field theory as well. An explicit transformation (...)
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  10.  34
    Vincent Lam (2015). Primitive Ontology and Quantum Field Theory. European Journal for Philosophy of Science 5 (3):387-397.
    Primitive ontology is a recently much discussed approach to the ontology of quantum theory according to which the theory is ultimately about entities in 3-dimensional space and their temporal evolution. This paper critically discusses the primitive ontologies that have been suggested within the Bohmian approach to quantum field theory in the light of the existence of unitarily inequivalent representations. These primitive ontologies rely either on a Fock space representation or a wave functional representation, which (...)
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  11.  27
    Gerard ’T. Hooft (2013). Duality Between a Deterministic Cellular Automaton and a Bosonic Quantum Field Theory in 1+1 Dimensions. Foundations of Physics 43 (5):597-614.
    Methods developed in a previous paper are employed to define an exact correspondence between the states of a deterministic cellular automaton in 1+1 dimensions and those of a bosonic quantum field theory. The result may be used to argue that quantum field theories may be much closer related to deterministic automata than what is usually thought possible.
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  12.  7
    Alessandro Bisio, Giacomo Mauro D’Ariano, Paolo Perinotti & Alessandro Tosini (2015). Free Quantum Field Theory From Quantum Cellular Automata. Foundations of Physics 45 (10):1137-1152.
    After leading to a new axiomatic derivation of quantum theory, the new informational paradigm is entering the domain of quantum field theory, suggesting a quantum automata framework that can be regarded as an extension of quantum field theory to including an hypothetical Planck scale, and with the usual quantum field theory recovered in the relativistic limit of small wave-vectors. Being derived from simple principles, the automata theory is (...)
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  13.  19
    Yuichiro Kitajima (2013). EPR States and Bell Correlated States in Algebraic Quantum Field Theory. Foundations of Physics 43 (10):1182-1192.
    A mathematical rigorous definition of EPR states has been introduced by Arens and Varadarajan for finite dimensional systems, and extended by Werner to general systems. In the present paper we follow a definition of EPR states due to Werner. Then we show that an EPR state for incommensurable pairs is Bell correlated, and that the set of EPR states for incommensurable pairs is norm dense between two strictly space-like separated regions in algebraic quantum field theory.
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  14.  15
    Mark A. Rubin (2011). Observers and Locality in Everett Quantum Field Theory. Foundations of Physics 41 (7):1236-1262.
    A model for measurement in collapse-free nonrelativistic fermionic quantum field theory is presented. In addition to local propagation and effectively-local interactions, the model incorporates explicit representations of localized observers, thus extending an earlier model of entanglement generation in Everett quantum field theory (Rubin in Found. Phys. 32:1495–1523, 2002). Transformations of the field operators from the Heisenberg picture to the Deutsch-Hayden picture, involving fictitious auxiliary fields, establish the locality of the model. The model is (...)
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  15.  10
    P. A. Marchetti (2010). Spin-Statistics Transmutation in Quantum Field Theory. Foundations of Physics 40 (7):746-764.
    Spin-statistics transmutation is the phenomenon occurring when a “dressing” transformation introduced for physical reasons (e.g. gauge invariance) modifies the “bare” spin and statistics of particles or fields. Historically, it first appeared in Quantum Mechanics and in semiclassical approximation to Quantum Field Theory. After a brief historical introduction, we sketch how to describe such phenomenon in Quantum Field Theory beyond the semiclassical approximation, using a path-integral formulation of euclidean correlation functions, exemplifying with anyons, dyons (...)
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  16.  1
    Francesco Giacosa (2012). Non-Exponential Decay in Quantum Field Theory and in Quantum Mechanics: The Case of Two (or More) Decay Channels. Foundations of Physics 42 (10):1262-1299.
    We study the deviations from the exponential decay law, both in quantum field theory (QFT) and quantum mechanics (QM), for an unstable particle which can decay in (at least) two decay channels. After a review of general properties of non-exponential decay in QFT and QM, we evaluate in both cases the decay probability that the unstable particle decays in a given channel in the time interval between t and t+dt. An important quantity is the ratio of (...)
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  17.  12
    Mark H. Bickhard (2003). Variations in Variation and Selection: The Ubiquity of the Variation-and-Selective-Retention Ratchet in Emergent Organizational Complexity, Part II: Quantum Field Theory. [REVIEW] Foundations of Science 8 (3):283-293.
    If the general arguments concerning theinvolvement of variation and selection inexplanations of ``fit'' are valid, then variationand selection explanations should beappropriate, or at least potentiallyappropriate, outside the paradigm historisticdomains of biology and knowledge. In thisdiscussion, I wish to indicate some potentialroles for variation and selection infoundational physics – specifically inquantum field theory. I will not be attemptingany full coherent ontology for quantum fieldtheory – none currently exists, and none islikely for at least the short term future. Instead, (...)
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  18.  63
    Bert Schroer (2010). Localization and the Interface Between Quantum Mechanics, Quantum Field Theory and Quantum Gravity I. Studies in History and Philosophy of Science Part B 41 (2):104-127.
    It is shown that there are significant conceptual differences between QM and QFT which make it difficult to view the latter as just a relativistic extension of the principles of QM. At the root of this is a fundamental distiction between Born-localization in QM (which in the relativistic context changes its name to Newton–Wigner localization) and modular localization which is the localization underlying QFT, after one separates it from its standard presentation in terms of field coordinates. The first comes (...)
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  19.  52
    Bert Schroer (2010). Localization and the Interface Between Quantum Mechanics, Quantum Field Theory and Quantum Gravity II. Studies in History and Philosophy of Science Part B 41 (4):293-308.
    The main topics of this second part of a two-part essay are some consequences of the phenomenon of vacuum polarization as the most important physical manifestation of modular localization. Besides philosophically unexpected consequences, it has led to a new constructive “outside-inwards approach” in which the pointlike fields and the compactly localized operator algebras which they generate only appear from intersecting much simpler algebras localized in noncompact wedge regions whose generators have extremely mild almost free field behavior. -/- Another consequence (...)
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  20.  10
    H. Kleinert (2014). Quantum Field Theory of Black-Swan Events. Foundations of Physics 44 (5):546-556.
    Free and weakly interacting particles are described by a second-quantized nonlinear Schrödinger equation, or relativistic versions of it. They describe Gaussian random walks with collisions. By contrast, the fields of strongly interacting particles are governed by effective actions, whose extremum yields fractional field equations. Their particle orbits perform universal Lévy walks with heavy tails, in which rare events are much more frequent than in Gaussian random walks. Such rare events are observed in exceptionally strong windgusts, monster or rogue waves, (...)
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  21. Frank Hättich (2004). Quantum Processes: A Whiteheadian Interpretation of Quantum Field Theory. Agenda.
     
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  22.  45
    Chris Smeenk & W. C. Myrvold (2011). Introduction: Philosophy of Quantum Field Theory. Studies in History and Philosophy of Science Part B 42 (2):77-80.
    The University of Western Ontario hosted a lively and stimulating workshop in the spring of 2009 that brought together many of the philosophers actively working on QFT. This issue collects some of the papers presented at the workshop, along with one (Earman's) that was intended for the workshop but not presented there. These papers approach the foundational problems of QFT from a variety of different technical and philosophical perspectives.
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  23.  62
    Edward MacKinnon (2007). Schwinger and the Ontology of Quantum Field Theory. Foundations of Science 12 (4):295-323.
    An epistemological interpretation of quantum mechanics hinges on the claim that the distinctive features of quantum mechanics can be derived from some distinctive features of an observational basis. Old and new variations of this theme are listed. The program has a limited success in non-relativistic quantum mechanics. The crucial issue is how far it can be extended to quantum field theory without introducing significant ontological postulates. A C*-formulation covers algebraic quantum field (...), but not the standard model. Julian Schwinger’s anabatic methodology extended a strict measurement-based formulation of quantum mechanics through field theory. His extension also excluded the quark hypothesis and the standard model. Quarks and local gauge invariance are postulates that go beyond the limits of an epistemological interpretation of quantum mechanics. The ontological significance ascribed to these advances depends on the role accorded ontology. (shrink)
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  24. David Baker (2009). Against Field Interpretations of Quantum Field Theory. British Journal for the Philosophy of Science 60 (3):585-609.
    I examine some problems standing in the way of a successful `field interpretation' of quantum field theory. The most popular extant proposal depends on the Hilbert space of `wavefunctionals.' But since wavefunctional space is unitarily equivalent to many-particle Fock space, two of the most powerful arguments against particle interpretations also undermine this form of field interpretation. IntroductionField Interpretations and Field OperatorsThe Wavefunctional InterpretationFields and Inequivalent Representations 4.1. The Rindler representation 4.2. Spontaneous symmetry breaking 4.3. (...)
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  25.  67
    David Wallace (2011). Taking Particle Physics Seriously: A Critique of the Algebraic Approach to Quantum Field Theory. Studies in History and Philosophy of Science Part B 42 (2):116-125.
    I argue against the currently prevalent view that algebraic quantum field theory (AQFT) is the correct framework for philosophy of quantum field theory and that “conventional” quantum field theory (CQFT), of the sort used in mainstream particle physics, is not suitable for foundational study. In doing so, I defend that position that AQFT and CQFT should be understood as rival programs to resolve the mathematical and physical pathologies of renormalization theory, (...)
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  26.  87
    Doreen Fraser (2011). How to Take Particle Physics Seriously: A Further Defence of Axiomatic Quantum Field Theory. Studies in History and Philosophy of Science Part B 42 (2):126-135.
    Further arguments are offered in defence of the position that the variant of quantum field theory (QFT) that should be subject to interpretation and foundational analysis is axiomatic quantum field theory. I argue that the successful application of renormalization group (RG) methods within alternative formulations of QFT illuminates the empirical content of QFT, but not the theoretical content. RG methods corroborate the point of view that QFT is a case of the underdetermination of (...) by empirical evidence. I also urge caution in extrapolating interpretive conclusions about QFT from the application of RG methods in other contexts (e.g., condensed matter physics). This paper replies to criticisms advanced by David Wallace, but aims to be self-contained. (shrink)
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  27. David Wallace (2006). In Defence of Naiveté: The Conceptual Status of Lagrangian Quantum Field Theory. Synthese 151 (1):33 - 80.
    I analyse the conceptual and mathematical foundations of Lagrangian quantum field theory (QFT) (that is, the ‘naive’ (QFT) used in mainstream physics, as opposed to algebraic quantum field theory). The objective is to see whether Lagrangian (QFT) has a sufficiently firm conceptual and mathematical basis to be a legitimate object of foundational study, or whether it is too ill-defined. The analysis covers renormalisation and infinities, inequivalent representations, and the concept of localised states; the conclusion (...)
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  28.  35
    Meinard Kuhlmann (2012). Quantum Field Theory. The Stanford Encyclopedia of Philosophy.
    Quantum Field Theory (QFT) is the mathematical and conceptual framework for contemporary elementary particle physics. In a rather informal sense QFT is the extension of quantum mechanics (QM), dealing with particles, over to fields, i.e. systems with an infinite number of degrees of freedom. (See the entry on quantum mechanics.) In the last few years QFT has become a more widely discussed topic in philosophy of science, with questions ranging from methodology and semantics to ontology. (...)
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  29. Rob Clifton & Hans Halvorson (2001). Are Rindler Quanta Real? Inequivalent Particle Concepts in Quantum Field Theory. British Journal for the Philosophy of Science 52 (3):417-470.
    Philosophical reflection on quantum field theory has tended to focus on how it revises our conception of what a particle is. However, there has been relatively little discussion of the threat to the "reality" of particles posed by the possibility of inequivalent quantizations of a classical field theory, i.e., inequivalent representations of the algebra of observables of the field in terms of operators on a Hilbert space. The threat is that each representation embodies its (...)
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  30. Doreen Fraser (2009). Quantum Field Theory: Underdetermination, Inconsistency, and Idealization. Philosophy of Science 76 (4):536-567.
    Quantum field theory (QFT) presents a genuine example of the underdetermination of theory by empirical evidence. There are variants of QFT—for example, the standard textbook formulation and the rigorous axiomatic formulation—that are empirically indistinguishable yet support different interpretations. This case is of particular interest to philosophers of physics because, before the philosophical work of interpreting QFT can proceed, the question of which variant should be subject to interpretation must be settled. New arguments are offered for basing (...)
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  31.  32
    John Earman & Giovanni Valente (2014). Relativistic Causality in Algebraic Quantum Field Theory. International Studies in the Philosophy of Science 28 (1):1-48.
    This paper surveys the issue of relativistic causality within the framework of algebraic quantum field theory . In doing so, we distinguish various notions of causality formulated in the literature and study their relationships, and thereby we offer what we hope to be a useful taxonomy. We propose that the most direct expression of relativistic causality in AQFT is captured not by the spectrum condition but rather by the axiom of local primitive causality, in that it entails (...)
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  32. Laura Ruetsche (2002). Interpreting Quantum Field Theory. Philosophy of Science 69 (2):348-378.
    The availability of unitarily inequivalent representations of the canonical commutation relations constituting a quantization of a classical field theory raises questions about how to formulate and pursue quantum field theory. In a minimally technical way, I explain how these questions arise and how advocates of the Hilbert space and of the algebraic approaches to quantum theory might answer them. Where these answers differ, I sketch considerations for and against each approach, as well as (...)
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  33. Hans Halvorson & Michael Mueger (2006). Algebraic Quantum Field Theory. In J. Butterfield & J. Earman (eds.), Handbook of the philosophy of physics. Kluwer
    Algebraic quantum field theory provides a general, mathematically precise description of the structure of quantum field theories, and then draws out consequences of this structure by means of various mathematical tools -- the theory of operator algebras, category theory, etc.. Given the rigor and generality of AQFT, it is a particularly apt tool for studying the foundations of QFT. This paper is a survey of AQFT, with an orientation towards foundational topics. In addition (...)
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  34. John Earman & Doreen Fraser (2006). Haag's Theorem and its Implications for the Foundations of Quantum Field Theory. Erkenntnis 64 (3):305 - 344.
    Although the philosophical literature on the foundations of quantum field theory recognizes the importance of Haag’s theorem, it does not provide a clear discussion of the meaning of this theorem. The goal of this paper is to make up for this deficit. In particular, it aims to set out the implications of Haag’s theorem for scattering theory, the interaction picture, the use of non-Fock representations in describing interacting fields, and the choice among the plethora of the (...)
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  35. Rob Clifton & Hans Halvorson (2001). Entanglement and Open Systems in Algebraic Quantum Field Theory. Studies in History and Philosophy of Science Part B 32 (1):1-31.
    Entanglement has long been the subject of discussion by philosophers of quantum theory, and has recently come to play an essential role for physicists in their development of quantum information theory. In this paper we show how the formalism of algebraic quantum field theory (AQFT) provides a rigorous framework within which to analyse entanglement in the context of a fully relativistic formulation of quantum theory. What emerges from the analysis are new (...)
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  36.  13
    Giovanni Valente (2013). Local Disentanglement in Relativistic Quantum Field Theory. Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 44 (4):424-432.
    This paper discusses a claim by Clifton and Halvorson (2001) that, contrary to non-relativistic quantum mechanics, local operations can never destroy entanglement in relativistic quantum field theory. The impossibility of achieving local disentanglement would raise a threat for the mutual independence between microscopic subsystems. Here, we observe that Clifton and Halvorson no-go result rests on an unnecessarily strong notion of local operations, which we label absolutely local operations, and we argue that a weaker notion, namely that (...)
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  37. N. Huggett (2000). Philosophical Foundations of Quantum Field Theory. British Journal for the Philosophy of Science 51 (4):617-637.
    Much attention has been directed to the philosophical implications of quantum field theory (QFT) in recent years; this paper attempts a survey in low-technical terms. First the relations of QFT to other kinds of theory, classical and quantum, particle and field, are discussed. Then various formulations of QFT are introduced, along with related interpretations. Finally a review is made of some of the most interesting foundational problems.
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  38.  12
    Claudio Verzegnassi (2016). A Quantum Field Theory Description of Elementary Fermion “Epigenetics”. World Futures 72 (3-4):187-190.
    I derive a number of impressive analogies between the modifications of the elementary components of Matter, generated by an external source of interaction, and the analogous modifications of the elementary components of an Organism. I will consider the interaction between the elementary components of matter and a weak classic magnetic field. This interaction will be treated in the theoretical quantum field theory formalism.
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  39. Hans Halvorson (2001). Reeh-Schlieder Defeats Newton-Wigner: On Alternative Localization Schemes in Relativistic Quantum Field Theory. Philosophy of Science 68 (1):111-133.
    Many of the "counterintuitive" features of relativistic quantum field theory have their formal root in the Reeh-Schlieder theorem, which in particular entails that local operations applied to the vacuum state can produce any state of the entire field. It is of great interest then that I.E. Segal and, more recently, G. Fleming (in a paper entitled "Reeh-Schlieder meets Newton-Wigner") have proposed an alternative "Newton-Wigner" localization scheme that avoids the Reeh-Schlieder theorem. In this paper, I reconstruct the (...)
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  40.  14
    Aristidis Arageorgis, John Earman & Laura Ruetsche (2003). Fulling Non‐Uniqueness and the Unruh Effect: A Primer on Some Aspects of Quantum Field Theory. Philosophy of Science 70 (1):164-202.
    We discuss the intertwined topics of Fulling non‐uniqueness and the Unruh effect. The Fulling quantization, which is in some sense the natural one for an observer uniformly accelerated through Minkowski spacetime to adopt, is often heralded as a quantization of the Klein‐Gordon field which is both physically relevant and unitarily inequivalent to the standard Minkowski quantization. We argue that the Fulling and Minkowski quantizations do not constitute a satisfactory example of physically relevant, unitarily inequivalent quantizations, and indicate what it (...)
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  41.  3
    John Earman & Doreen Fraser (2006). Haag’s Theorem and its Implications for the Foundations of Quantum Field Theory. Erkenntnis 64 (3):305-344.
    Although the philosophical literature on the foundations of quantum field theory recognizes the importance of Haag's theorem, it does not provide a clear discussion of the meaning of this theorem. The goal of this paper is to make up for this deficit. In particular, it aims to set out the implications of Haag's theorem for scattering theory, the interaction picture, the use of non-Fock representations in describing interacting fields, and the choice among the plethora of the (...)
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  42.  32
    F. Strocchi (2004). Relativistic Quantum Mechanics and Field Theory. Foundations of Physics 34 (3):501-527.
    The problems which arise for a relativistic quantum mechanics are reviewed and critically examined in connection with the foundations of quantum field theory. The conflict between the quantum mechanical Hilbert space structure, the locality property and the gauge invariance encoded in the Gauss' law is discussed in connection with the various quantization choices for gauge fields.
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  43.  44
    Miklós Rédei (2010). Einstein's Dissatisfaction with Nonrelativistic Quantum Mechanics and Relativistic Quantum Field Theory. Philosophy of Science 77 (5):1042-1057.
    It is argued that in his critique of standard nonrelativistic quantum mechanics Einstein formulated three requirements as necessary for a physical theory to be compatible with the field-theorectical paradigm, and it is shown that local, relativistic, algebraic quantum field theory typically satisfies those criteria-although, there are still open questions concerning the status of operational separability of quantum systems localized in space like separated space-time regions. It is concluded that local algebraic quantum (...) theory can be viewed as a research program that Einstein suggested informally in 1948 and that was realized only later in mathematical physics. (shrink)
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  44.  39
    David John Baker, The Philosophy of Quantum Field Theory.
    If we divide our physical theories into theories of matter and theories of spacetime, quantum field theory is our most fundamental empirically successful theory of matter. As such, it has attracted increasing attention from philosophers over the past two decades, beginning to eclipse its predecessor theory of quantum mechanics in the philosophical literature. Here I survey some central philosophical puzzles about the theory's foundations.
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  45.  36
    Michael Miller (forthcoming). Haag’s Theorem, Apparent Inconsistency, and the Empirical Adequacy of Quantum Field Theory. British Journal for the Philosophy of Science:axw029.
    Haag's theorem has been interpreted as establishing that quantum field theory cannot consistently represent interacting fields. Earman and Fraser have clarified how it is possible to give mathematically consistent calculations in scattering theory despite the theorem. However, their analysis does not fully address the worry raised by the result. In particular, I argue that their approach fails to be a complete explanation of why Haag's theorem does not undermine claims about the empirical adequacy of particular (...) field theories. I then show that such empirical adequacy claims are protected from Haag's result by the techniques that are required to obtain theoretical predictions for realistic experimental observables. I conclude by showing how Haag's theorem is illustrative of a general tension between the foundational significance of results that can be obtained in perturbation theory and non-perturbative characterizations of the content of quantum field theory. (shrink)
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  46.  7
    Tracy Lupher (forthcoming). The Limits of Physical Equivalence in Algebraic Quantum Field Theory. British Journal for the Philosophy of Science:axw017.
    Some physicists and philosophers argue that unitarily inequivalent representations in quantum field theory are mathematical surplus structure. Support for that view, sometimes called ‘algebraic imperialism’, relies on Fell’s theorem and its deployment in the algebraic approach to QFT. The algebraic imperialist uses Fell’s theorem to argue that UIRs are ‘physically equivalent’ to each other. The mathematical, conceptual, and dynamical aspects of Fell’s theorem will be examined. Its use as a criterion for physical equivalence is examined in detail (...)
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  47.  49
    Adrian Heathcote (1989). A Theory of Causality: Causality=Interaction (as Defined by a Suitable Quantum Field Theory). [REVIEW] Erkenntnis 31 (1):77 - 108.
    In this paper I put forward a suggestion for identifying causality in micro-systems with the specific quantum field theoretic interactions that occur in such systems. I first argue — along the lines of general transference theories — that such a physicalistic account is essential to an understanding of causation; I then proceed to sketch the concept of interaction as it occurs in quantum field theory and I do so from both a formal and an informal (...)
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  48. Paul Teller (1998). On Huggett and Weingard's Review of an Interpretive Introduction to Quantum Field Theory: Continuing the Discussion. Philosophy of Science 65 (1):151-161.
    Huggett and Weingard's critical review provides an opportunity to continue the interpretive examination of quantum field theory in terms of some specific issues as well as comparison of alternative approaches to the subject. This note recasts their example of inequivalent Fock spaces in an effort to further clarify what it illustrates. Questions are addressed about the role of analogy in developing quantum field theory and about the conflict between formal vs. concrete methods in both (...)
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  49. Michael Redhead (1982). Quantum Field Theory for Philosophers. PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association 1982:57 - 99.
    The metaphysical commitments of quantum field theory are examined. A thesis of underdetermination as between field and particle approaches to the "elementary particles" is argued for but only if a disputed notion of transcendental individuality is admitted. The superiority of the field approach is further emphasized in the context of heuristics.
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  50.  13
    Miklós Rédei (2014). Hilbert's 6th Problem and Axiomatic Quantum Field Theory. Perspectives on Science 22 (1):80-97.
    This paper has two parts, a historical and a systematic. In the historical part it is argued that the two major axiomatic approaches to relativistic quantum field theory, the Wightman and Haag-Kastler axiomatizations, are realizations of the program of axiomatization of physical theories announced by Hilbert in his 6th of the 23 problems discussed in his famous 1900 Paris lecture on open problems in mathematics, if axiomatizing physical theories is interpreted in a soft and opportunistic sense suggested (...)
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