Results for 'Renormalization (Physics'

74 found
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  1.  38
    The Development of Renormalization Group Methods for Particle Physics: Formal Analogies Between Classical Statistical Mechanics and Quantum Field Theory.Doreen Fraser - 2020 - Synthese 197 (7):3027-3063.
    Analogies between classical statistical mechanics and quantum field theory played a pivotal role in the development of renormalization group methods for application in the two theories. This paper focuses on the analogies that informed the application of RG methods in QFT by Kenneth Wilson and collaborators in the early 1970's. The central task that is accomplished is the identification and analysis of the analogical mappings employed. The conclusion is that the analogies in this case study are formal analogies, and (...)
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  2.  41
    Do Renormalization Group Explanations Conform to the Commonality Strategy?Alexander Reutlinger - 2017 - Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie 48 (1):143-150.
    Renormalization group explanations account for the astonishing phenomenon that microscopically very different physical systems display the same macro-behavior when undergoing phase-transitions. Among philosophers, this explanandum phenomenon is often described as the occurrence of a particular kind of multiply realized macro-behavior. In several recent publications, Robert Batterman denies that RG explanations account for this explanandum phenomenon by following the commonality strategy, i.e. by identifying properties that microscopically very different physical systems have in common. Arguing against Batterman’s claim, I defend the (...)
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  3.  64
    Renormalization Group Methods.Porter Williams - forthcoming - In Alistair Wilson & Eleanor Knox (eds.), Routledge Companion to the Philosophy of Physics. Routledge.
    This is an introduction to renormalization group methods in quantum field theory aimed at philosophers of science. review path integral methods, the relationship between early renormalization theory and renormalization group methods, and conceptual shifts in thinking about quantum field theory spurred by the development of renormalization group methods.
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  4.  54
    Renormalization for Philosophers.Jeremy Butterfield & Nazim Bouatta - unknown
    We have two aims. The main one is to expound the idea of renormalization in quantum field theory, with no technical prerequisites. Our motivation is that renormalization is undoubtedly one of the great ideas—and great successes--of twentieth-century physics. Also it has strongly influenced in diverse ways, how physicists conceive of physical theories. So it is of considerable philosophical interest. Second, we will briefly relate renormalization to Ernest Nagel's account of inter-theoretic relations, especially reduction. One theme will (...)
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  5.  41
    Renormalization and the Formulation of Scientific Realism.James Duncan Fraser - 2018 - Philosophy of Science 85 (5):1164-1175.
    Providing a precise statement of their position has long been a central challenge facing the scientific realist. This paper draws some morals about how realism ought to be formulated from the renormalization group framework in high energy physics.
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  6.  62
    Renormalization Group Realism: The Ascent of Pessimism.Laura Ruetsche - 2018 - Philosophy of Science 85 (5):1176-1189.
    One realist response to the pessimistic meta-induction distinguishes idle theoretical wheels from aspects of successful theories we can expect to persist and espouses realism about the latter. Implementing the response requires a strategy for identifying the distinguished aspects. The strategy I will call renormalization group realism has the virtue of directly engaging the gears of our best current physics—perturbative quantum field theories. I argue that the strategy, rather than disarming the skeptical possibilities evinced by the pessimistic meta-induction, forces (...)
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  7. On the Renormalization Group Explanation of Universality.Alexander Franklin - 2018 - Philosophy of Science 85 (2):225-248.
    It is commonly claimed that the universality of critical phenomena is explained through particular applications of the renormalization group. This article has three aims: to clarify the structure of the explanation of universality, to discuss the physics of such RG explanations, and to examine the extent to which universality is thus explained. The derivation of critical exponents proceeds via a real-space or a field-theoretic approach to the RG. Building on work by Mainwood, this article argues that these approaches (...)
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  8.  17
    Renormalization Scrutinized.Sébastien Rivat - 2019 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 68:23-39.
    In this paper, I propose a general framework for understanding renormalization by drawing on the distinction between effective and continuum Quantum Field Theories (QFTs), and offer a comprehensive account of perturbative renormalization on this basis. My central claim is that the effective approach to renormalization provides a more physically perspicuous, conceptually coherent and widely applicable framework to construct perturbative QFTs than the continuum approach. I also show how a careful comparison between the two approaches: (i) helps to (...)
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  9.  11
    Coarse-Graining as a Route to Microscopic Physics: The Renormalization Group in Quantum Field Theory.Bihui Li - 2015 - Philosophy of Science 82 (5):1211-1223.
    The renormalization group has been characterized as merely a coarse-graining procedure that does not illuminate the microscopic content of quantum field theory but merely gets us from that content, as given by axiomatic QFT, to macroscopic predictions. I argue that in the constructive field theory tradition, RG techniques do illuminate the microscopic dynamics of a QFT, which are not automatically given by axiomatic QFT. RG techniques in constructive field theory are also rigorous, so one cannot object to their foundational (...)
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  10.  29
    Coarse-Graining as a Route to Microscopic Physics: The Renormalization Group in Quantum Field Theory.Li Bihui - 2015 - Philosophy of Science 82 (5):1211-1223.
    The renormalization group has been characterized as merely a coarse-graining procedure that does not illuminate the microscopic content of quantum field theory, but merely gets us from that content, as given by axiomatic QFT, to macroscopic predictions. I argue that in the constructive field theory tradition, RG techniques do illuminate the microscopic dynamics of a QFT, which are not automatically given by axiomatic QFT. RG techniques in constructive field theory are also rigorous, so one cannot object to their foundational (...)
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  11. Reduction and Renormalization.Robert Batterman - 2006 - In Gerhard Ernst & Andreas Hüttemann (eds.), Time, Chance and Reduction: Philosophical Aspects of Statistical Mechanics. Cambridge University Press. pp. 159--179.
    This paper discusses the alleged reduction of Thermodynamics to Statistical Mechanics. It includes an historical discussion of J. Willard Gibbs' famous caution concerning the connections between thermodynamic properties and statistical mechanical properties---his so-called ``Thermodynamic Analogies.'' The reasons for Gibbs' caution are reconsidered in light of relatively recent work in statistical physics on the existence of the thermodynamic limit and the explanation of critical behavior using the renormalization group apparatus. A probabilistic understanding of the renormalization group arguments allows (...)
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  12.  22
    Naturalness, Wilsonian Renormalization, and “Fundamental Parameters” in Quantum Field Theory.Joshua Rosaler & Robert Harlander - 2019 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 66:118-134.
  13.  14
    Functional Renormalization Group Flows on Friedman–Lemaître–Robertson–Walker Backgrounds.Alessia Platania & Frank Saueressig - 2018 - Foundations of Physics 48 (10):1291-1304.
    We revisit the construction of the gravitational functional renormalization group equation tailored to the Arnowitt–Deser–Misner formulation emphasizing its connection to the covariant formulation. The results obtained from projecting the renormalization group flow onto the Einstein–Hilbert action are reviewed in detail and we provide a novel example illustrating how the formalism may be connected to the causal dynamical triangulations approach to quantum gravity.
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  14. Why Equilibrium Statistical Mechanics Works: Universality and the Renormalization Group.Robert W. Batterman - 1998 - Philosophy of Science 65 (2):183-208.
    Discussions of the foundations of Classical Equilibrium Statistical Mechanics (SM) typically focus on the problem of justifying the use of a certain probability measure (the microcanonical measure) to compute average values of certain functions. One would like to be able to explain why the equilibrium behavior of a wide variety of distinct systems (different sorts of molecules interacting with different potentials) can be described by the same averaging procedure. A standard approach is to appeal to ergodic theory to justify this (...)
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  15.  22
    Philosophical Implications of Kadanoff's Work on the Renormalization Group.Robert Batterman - 2017 - Journal of Statistical Physics 167 (3-4):559–574.
    This paper investigates the consequences for our understanding of physical theories as a result of the development of the renormalization group. Kadanoff's assessment of these consequences is discussed. What he called the ``extended singularity theorem'' poses serious difficulties for philosophical interpretation of theories. Several responses are discussed. The resolution demands a philosophical rethinking of the role of mathematics in physical theorizing.
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  16. Taking Particle Physics Seriously: A Critique of the Algebraic Approach to Quantum Field Theory.David Wallace - 2011 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 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, and that CQFT has succeeded in this task (...)
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  17. Fearful Symmetry: The Search for Beauty in Modern Physics.A. Zee - 1986 - Princeton University Press.
    Fearful Symmetry brings the incredible discoveries of contemporary physics within everyone's grasp. A. Zee, a distinguished physicist and skillful expositor, tells the exciting story of how today's theoretical physicists are following Einstein in their search for the beauty and simplicity of Nature. Animated by a sense of reverence and whimsy, the book describes the majestic sweep and accomplishments of twentieth-century physics. In the end, we stand in awe before the grand vision of modern physics--one of the greatest (...)
     
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  18.  18
    Taking Particle Physics Seriously: A Critique of the Algebraic Approach to Quantum Field Theory.David Wallace - 2010 - Studies in History and Philosophy of Modern Physics 42 (2):116-125.
    I argue against the currently-prevalent view in philosophy of physics that algebraic quantum field theory is the correct framework for philosophy of quantum field theory and that "conventional" quantum field theory, of the sort used in mainstream particle physics, is not suitable for foundational study. In doing so, I defend the position that AQFT and CQFT, understood in an appropriate sense, ought to be understood as rival programs to resolve the mathematical and physical pathologies of renormalization theory, (...)
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  19.  60
    Exposing the Machinery of Infinite Renormalization.Nick Huggett & Robert Weingard - 1996 - Philosophy of Science 63 (3):167.
    We explicate recent results that shed light on the obscure and troubling problem of renormalization in Quantum Field Theory (QFT). We review how divergent predictions arise in perturbative QFT, and how they are renormalized into finite quantities. Commentators have worried that there is no foundation for renormalization, and hence that QFTs are not logically coherent. We dispute this by describing the physics behind liquid diffusion, in which exactly analogous divergences are found and renormalized. But now we are (...)
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  20.  49
    On “Gauge Renormalization” in Classical Electrodynamics.Alexander L. Kholmetskii - 2006 - Foundations of Physics 36 (5):715-744.
    In this paper we pay attention to the inconsistency in the derivation of the symmetric electromagnetic energy–momentum tensor for a system of charged particles from its canonical form, when the homogeneous Maxwell’s equations are applied to the symmetrizing gauge transformation, while the non-homogeneous Maxwell’s equations are used to obtain the motional equation. Applying the appropriate non-homogeneous Maxwell’s equations to both operations, we obtained an additional symmetric term in the tensor, named as “compensating term”. Analyzing the structure of this “compensating term”, (...)
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  21.  3
    Exposing the Machinery of Infinite Renormalization.Nick Huggett & Robert Weingard - 1996 - Philosophy of Science 63 (5):S159-S167.
    We explicate recent results that shed light on the obscure and troubling problem of renormalization in Quantum Field Theory. We review how divergent predictions arise in perturbative QFT, and how they are renormalized into finite quantities. Commentators have worried that there is no foundation for renormalization, and hence that QFTs are not logically coherent. We dispute this by describing the physics behind liquid diffusion, in which exactly analogous divergences are found and renormalized. But now we are looking (...)
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  22. Percolation: An Easy Example of Renormalization.Malcolm Forster - manuscript
    Kenneth Wilson won the Nobel Prize in Physics in 1982 for applying renormalization group, which he learnt from quantum field theory (QFT), to problems in statistical physics—the induced magnetization of materials (ferromagnetism) and the evaporation and condensation of fluids (phase transitions). See Wilson (1983). The renormalization group got its name from its early applications in QFT. There, it appeared to be a rather ad hoc method of subtracting away unwanted infinities. The further allegation was that the (...)
     
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  23. How to Take Particle Physics Seriously: A Further Defence of Axiomatic Quantum Field Theory.Doreen Fraser - 2011 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 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 theory by empirical evidence. I also (...)
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  24. Discrete or Continuous? The Quest for Fundamental Length in Modern Physics.Amit Hagar - 2014 - Cambridge University Press.
    A book on the notion of fundamental length, covering issues in the philosophy of math, metaphysics, and the history and the philosophy of modern physics, from classical electrodynamics to current theories of quantum gravity. Published (2014) in Cambridge University Press.
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  25.  61
    Decoupling Emergence and Reduction in Physics.Karen Crowther - 2015 - European Journal for Philosophy of Science 5 (3):419-445.
    An effective theory in physics is one that is supposed to apply only at a given length scale; the framework of effective field theory describes a ‘tower’ of theories each applying at different length scales, where each ‘level’ up is a shorter-scale theory. Owing to subtlety regarding the use and necessity of EFTs, a conception of emergence defined in terms of reduction is irrelevant. I present a case for decoupling emergence and reduction in the philosophy of physics. This (...)
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  26.  99
    Some Philosophical Aspects of Particle Physics.M. L. G. Redhead - 1980 - Studies in History and Philosophy of Science Part A 11 (4):279.
    The paper is concerned with explaining some of the principal theoretical developments in elementary particle physics and discussing the associated methodological problems both in respect of heuristics and appraisal. Particular reference is made to relativistic quantum field theory, renormalization, Feynman diagram techniques, the analytic S-matrix and the Chew — Frautschi bootstrap.
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  27.  18
    Reconciling Axiomatic Quantum Field Theory with Cutoff-Dependent Particle Physics.Adam Koberinski - manuscript
    The debate between Fraser and Wallace over the foundations of quantum field theory has spawned increased focus on both the axiomatic and conventional formalisms. The debate has set the tone for future foundational analysis, and has forced philosophers to “pick a side”. The two are seen as competing research programs, and the major divide between the two manifests in how each handles renormalization. In this paper I argue that the terms set by the Fraser-Wallace debate are misleading. AQFT and (...)
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  28.  98
    Erwin Schrödinger's Views on Gravitational Physics During His Last Years at the University of Vienna and Some Research Ensuing From It.Leopold Halpern - 1987 - Foundations of Physics 17 (11):1113-1130.
    The author, who was Schrödinger's assistant during his last years in Vienna, gives an account of Schrödinger's views and activities during that time which lead him to a different approach to research on the relations between gravitation and quantum phenomena. Various features of past research are outlined in nontechnical terms. A heuristic argument is presented for the role of the zero-point energy of massive particles in counteracting gravitational collapse and the formation of horizons. Arguments are presented for the view that (...)
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  29.  35
    Model Templates Within and Between Disciplines: From Magnets to Gases – and Socio-Economic Systems.Tarja Knuuttila & Andrea Loettgers - 2016 - European Journal for Philosophy of Science 6 (3):377-400.
    One striking feature of the contemporary modelling practice is its interdisciplinary nature. The same equation forms, and mathematical and computational methods, are used across different disciplines, as well as within the same discipline. Are there, then, differences between intra- and interdisciplinary transfer, and can the comparison between the two provide more insight on the challenges of interdisciplinary theoretical work? We will study the development and various uses of the Ising model within physics, contrasting them to its applications to socio-economic (...)
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  30.  36
    Without Hierarchy: The Scale Freedom of the Universe.Mariam Thalos - 2013 - New York, USA: Oxford University Press.
    A venerable tradition in the metaphysics of science commends ontological reduction: the practice of analysis of theoretical entities into further and further proper parts, with the understanding that the original entity is nothing but the sum of these. This tradition implicitly subscribes to the principle that all the real action of the universe (also referred to as its "causation") happens at the smallest scales-at the scale of microphysics. A vast majority of metaphysicians and philosophers of science, covering a wide swath (...)
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  31. Emergence, Singularities, and Symmetry Breaking.Robert W. Batterman - 2011 - Foundations of Physics 41 (6):1031-1050.
    This paper looks at emergence in physical theories and argues that an appropriate way to understand socalled “emergent protectorates” is via the explanatory apparatus of the renormalization group. It is argued that mathematical singularities play a crucial role in our understanding of at least some well-defined emergent features of the world.
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  32.  43
    A Class of Elementary Particle Models Without Any Adjustable Real Parameters.Gerard ’T. Hooft - 2011 - Foundations of Physics 41 (12):1829-1856.
    Conventional particle theories such as the Standard Model have a number of freely adjustable coupling constants and mass parameters, depending on the symmetry algebra of the local gauge group and the representations chosen for the spinor and scalar fields. There seems to be no physical principle to determine these parameters as long as they stay within certain domains dictated by the renormalization group. Here however, reasons are given to demand that, when gravity is coupled to the system, local conformal (...)
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  33.  36
    Reconditioning in Discrete Quantum Field Theory.Stan Gudder - 2017 - International Journal of Theoretical Physics, Springer-Verlag, USA, 122:1-14.
    AUTHOR: STAN GUDDER (John Evans Professor of Mathematical Physics, University of Denver, USA) -- -/- We consider a discrete scalar, quantum field theory based on a cubic 4-dimensional lattice. We mainly investigate a discrete scattering operator S(x0,r) where x0 and r are positive integers representing time and maximal total energy, respectively. The operator S(x0,r) is used to define transition amplitudes which are then employed to compute transition probabilities. These probabilities are conditioned on the time-energy (x0,r). In order to maintain (...)
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  34.  12
    On the Universality of Hawking Radiation.Sean Gryb, Patricia Palacios & Karim Thebault - 2019 - British Journal for the Philosophy of Science:axz025.
    A physically consistent semi-classical treatment of black holes requires universality arguments to deal with the `trans-Planckian' problem where quantum spacetime effects appear to be amplified such that they undermine the entire semi-classical modelling framework. We evaluate three families of such arguments in comparison with Wilsonian renormalization group universality arguments found in the context of condensed matter physics. Our analysis is framed by the crucial distinction between robustness and universality. Particular emphasis is placed on the quality whereby the various (...)
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  35.  16
    On the True Nature of Renormalizability in Horava-Lifshitz Gravity.Fabio Briscese, Yeinzon Rodríguez & Guillermo A. González - 2012 - Foundations of Physics 42 (11):1444-1451.
    We argue that the true nature of the renormalizability of Horava-Lifshitz gravity lies in the presence of higher order spatial derivatives and not in the anisotropic Lifshitz scaling of space and time. We discuss the possibility of constructing a higher order spatial derivatives model that has the same renormalization properties of Horava-Lifshitz gravity but that does not make use of the Lifshitz scaling. In addition, the state-of-the-art of the Lorentz symmetry restoration in Horava-Lifshitz-type theories of gravitation is reviewed.
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  36.  46
    A Nonperturbative, Finite Particle Number Approach to Relativistic Scattering Theory.Marcus Alfred, Petero Kwizera, James V. Lindesay & H. Pierre Noyes - 2004 - Foundations of Physics 34 (4):581-616.
    We present integral equations for the scattering amplitudes of three scalar particles, using the Faddeev channel decomposition, which can be readily extended to any finite number of particles of any helicity. The solution of these equations, which have been demonstrated to be calculable, provide a nonperturbative way of obtaining relativistic scattering amplitudes for any finite number of particles that are Lorentz invariant, unitary, cluster decomposable and reduce unambiguously in the nonrelativistic limit to the nonrelativistic Faddeev equations. The aim of this (...)
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  37.  25
    Turn and Face the Strange... Ch-Ch-Changes: Philosophical Questions Raised by Phase Transitions.Tarun Menon & Craig Callender - 2013 - In Robert W. Batterman (ed.), The Oxford Handbook of Philosophy of Physics. Oxford University Press.
    Phase transitions are an important instance of putatively emergent behavior. Unlike many things claimed emergent by philosophers, the alleged emergence of phase transitions stems from both philosophical and scientific arguments. Here we focus on the case for emergence built from physics, in particular, arguments based upon the infinite idealization invoked in the statistical mechanical treatment of phase transitions. After teasing apart several challenges, we defend the idea that phase transitions are best thought of as conceptually novel, but not ontologically (...)
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  38.  28
    Effective Spacetime: Understanding Emergence in Effective Field Theory and Quantum Gravity.Karen Crowther - 2016 - Springer.
    This book discusses the notion that quantum gravity may represent the "breakdown" of spacetime at extremely high energy scales. If spacetime does not exist at the fundamental level, then it has to be considered "emergent", in other words an effective structure, valid at low energy scales. The author develops a conception of emergence appropriate to effective theories in physics, and shows how it applies (or could apply) in various approaches to quantum gravity, including condensed matter approaches, discrete approaches, and (...)
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  39.  10
    Phase Transition Thresholds for Some Friedman-Style Independence Results.Andreas Weiermann - 2007 - Mathematical Logic Quarterly 53 (1):4-18.
    We classify the phase transition thresholds from provability to unprovability for certain Friedman-style miniaturizations of Kruskal's Theorem and Higman's Lemma. In addition we prove a new and unexpected phase transition result for ε0. Motivated by renormalization and universality issues from statistical physics we finally state a universality hypothesis.
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  40.  54
    Reply to Cartwright.Philip W. Anderson - 2001 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 32 (3):499-500.
    I am afraid that Nancy Cartwright and I will have to agree to disagree, on the whole. If my review comes through as harsh, it is perhaps the natural response of a quantum theorist who has worked in economics to a book in which physics and economics are treated as epistemically identical.
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  41.  21
    Status of the Asymptotic Safety Paradigm for Quantum Gravity and Matter.Astrid Eichhorn - 2018 - Foundations of Physics 48 (10):1407-1429.
    In the asymptotic safety paradigm, a quantum field theory reaches a regime with quantum scale invariance in the ultraviolet, which is described by an interacting fixed point of the Renormalization Group. Compelling hints for the viability of asymptotic safety in quantum gravity exist, mainly obtained from applications of the functional Renormalization Group. The impact of asymptotically safe quantum fluctuations of gravity at and beyond the Planck scale could at the same time induce an ultraviolet completion for the Standard (...)
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  42. Critical Notice: Tian Yu Cao's “the Conceptual Development of 20th Century Field Theories”. [REVIEW]Simon Saunders - 2003 - Synthese 136 (1):79-105.
    Tian Yu Cao has written a serious and scholarly book covering a great deal of physics. He ranges from classical relativity theory, both special and general, to relativistic quantum …eld theory, including non-Abelian gauge theory, renormalization theory, and symmetry-breaking, presenting a detailed and very rich picture of the mainstream developments in quantum physics; a remarkable feat. It has, moreover, a philosophical message: according to Cao, the development of these theories is inconsistent with a Kuhnian view of theory (...)
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  43.  31
    Mathematical Developments in the Rise of Yang–Mills Gauge Theories.Adam Koberinski - 2019 - Synthese:1-31.
    In this paper I detail three major mathematical developments that led to the emergence of Yang–Mills theories as the foundation for the standard model of particle physics. In less than 10 years, work on renormalizability, the renormalization group, and lattice quantum field theory highlighted the utility of Yang–Mills type models of quantum field theory by connecting poorly understood candidate dynamical models to emerging experimental results. I use this historical case study to provide lessons for theory construction in (...), and touch on issues related to renormalization group realism from a more historical perspective. In particular, I highlight the fact that much of the hard work in theory construction comes when trying to understand the consequences and representational capacities of a theoretical framework. (shrink)
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  44.  23
    On General-Relativistic and Gauge Field Theories.Hans-Jürgen Treder & Wolfgang Yourgrau - 1978 - Foundations of Physics 8 (9-10):695-708.
    The fundamental open questions of general relativity theory are the unification of the gravitational field with other fields, aiming at a unified geometrization of physics, as well as the renormalization of relativistic gravitational theory in order to obtain their self-consistent solutions. These solutions are to furnish field-theoretic particle models—a problem first discussed by Einstein. In addition, we are confronted with the issue of a coupling between gravitational and matter fields determined (not only) by Einstein's principle of equivalence, and (...)
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  45.  20
    Critical Notice: "The Conceptual Development of 20th Century Field Theories", by Tian Yu Cao.Simon Saunders - unknown
    Cao makes two claims of particular philosophical interest, in his book "The Conceptual Development of 20th Century Field Theories". (i) The history of these developments refutes Kuhn's relativistic epistemology, and (tacitly) (2) the question of realism in quantum field theory can be addressed independent of one's views on the probem of measurement. I argue that Cao is right on the first score, although for reasons different from the ones he cites, but wrong on the second. In support of the first (...)
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  46.  24
    Curvature Dependence of Renormalized Coupling Constants.Leonard Parker - 1984 - Foundations of Physics 14 (11):1121-1129.
    The renormalization group is used to analyze the behavior of certain gravitationally significant renormalized coupling constants under a scaling of the spacetime curvature. After discussing a simple example, the results are summarized for a class of grand unified theories.
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  47.  6
    Scales and Hierachies in Asymptotically Safe Quantum Gravity: A Review.Giulia Gubitosi, Chris Ripken & Frank Saueressig - 2019 - Foundations of Physics 49 (9):972-990.
    The asymptotic safety program strives for a consistent description of gravity as a non-perturbatively renormalizable quantum field theory. In this framework the gravitational interactions are encoded in a renormalization group flow connecting the quantum gravity regime at trans-Planckian scales to observable low-energy physics. Our proceedings reviews the key elements underlying the predictive power of the construction and summarizes the state-of-the-art in determining its free parameters. The explicit construction of a realistic renormalization group trajectory describing our world shows (...)
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  48. Fields, Particles, and Curvature: Foundations and Philosophical Aspects of Quantum Field Theory in Curved Spacetime.Aristidis Arageorgis - 1995 - Dissertation, University of Pittsburgh
    The physical, mathematical, and philosophical foundations of the quantum theory of free Bose fields in fixed general relativistic spacetimes are examined. It is argued that the theory is logically and mathematically consistent whereas semiclassical prescriptions for incorporating the back-reaction of the quantum field on the geometry lead to inconsistencies. Still, the relations and heuristic value of the semiclassical approach to canonical and covariant schemes of quantum gravity-plus-matter are assessed. Both conventional and rigorous formulations of the theory and of its principal (...)
     
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  49.  11
    Local and Global Definitions of Time: Cosmology and Quantum Theory.William Nelson - unknown
    I will give a broad overview of what has become the standard paradigm in cosmology. I will describe the relational notion of time that is often used in cosmological calculations and discuss how the local nature of Einstein's equations allows us to translate this notion into statements about `initial' data. Classically this relates our local definition of time to a quasi-local region of a particular spatial slice, however incorporating quantum theory comes at the expense of losing this locality entirely. This (...)
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    Nonperturbative Quantum Electrodynamics: The Lamb Shift. [REVIEW]A. O. Barut & J. Kraus - 1983 - Foundations of Physics 13 (2):189-194.
    The nonlinear integro-differential equation, obtained from the coupled Maxwell-Dirac equations by eliminating the potential Aμ, is solved by iteration rather than perturbation. The energy shift is complex, the imaginary part giving the spontaneous emission. Both self-energy and vacuum polarization terms are obtained. All results, including renormalization terms, are finite.
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