Search results for 'Renormalization (Physics' (try it on Scholar)

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  1.  2
    Bihui Li (2015). Coarse-Graining as a Route to Microscopic Physics: The Renormalization Group in Quantum Field Theory. 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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  2. A. Zee (1986). Fearful Symmetry: The Search for Beauty in Modern Physics. 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 chapters in the (...)
     
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  3. Amit Hagar (2014). Discrete or Continuous? The Quest for Fundamental Length in Modern Physics. 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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  4.  6
    Alexander Reutlinger (forthcoming). Do Renormalization Group Explanations Conform to the Commonality Strategy? Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie:1-8.
    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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  5.  9
    Tarja Knuuttila & Andrea Loettgers (2016). Model Templates Within and Between Disciplines: From Magnets to Gases – and Socio-Economic Systems. 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 systems. (...)
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  6.  39
    Malcolm Forster, Percolation: An Easy Example of Renormalization.
    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 procedure is (...)
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  7.  15
    Leo P. Kadanoff (2013). Relating Theories Via Renormalization. Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 44 (1):22-39.
    The renormalization method is specifically aimed at connecting theories describing physical processes at different length scales and thereby connecting different theories in the physical sciences.The renormalization method used today is the outgrowth of 150 years of scientific study of thermal physics and phase transitions. Different phases of matter show qualitatively different behaviors separated by abrupt phase transitions. These qualitative differences seem to be present in experimentally observed condensed-matter systems. However, the “extended singularity theorem” in statistical mechanics shows that (...)
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  8.  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, and that CQFT has succeeded in this task and (...)
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  9.  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 theory by empirical evidence. I also (...)
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  10. Robert W. Batterman (2010). Reduction and Renormalization. In Gerhard Ernst & Andreas Hüttemann (eds.), Time, Chance and Reduction: Philosophical Aspects of Statistical Mechanics. Cambridge University Press 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 for (...)
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  11.  63
    M. L. G. Redhead (1980). Some Philosophical Aspects of Particle Physics. Studies in History and Philosophy of Science Part A 11 (4):279-304.
    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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  12.  22
    Jeremy Butterfield & Nazim Bouatta, Renormalization for Philosophers.
    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 be (...)
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  13.  39
    Nick Huggett & Robert Weingard (1996). Exposing the Machinery of Infinite Renormalization. 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 looking (...)
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  14.  16
    Karen Crowther (2015). Decoupling Emergence and Reduction in Physics. 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 paper develops (...)
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  15.  14
    A. D. Alhaidari (2014). Renormalization of the Strongly Attractive Inverse Square Potential: Taming the Singularity. Foundations of Physics 44 (10):1049-1058.
    Quantum anomalies in the inverse square potential are well known and widely investigated. Most prominent is the unbounded increase in oscillations of the particle’s state as it approaches the origin when the attractive coupling parameter is greater than the critical value of 1/4. Due to this unphysical divergence in oscillations, we are proposing that the interaction gets screened at short distances making the coupling parameter acquire an effective (renormalized) value that falls within the weak range 0–1/4. This prevents the oscillations (...)
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  16.  89
    Leopold Halpern (1987). Erwin Schrödinger's Views on Gravitational Physics During His Last Years at the University of Vienna and Some Research Ensuing From It. 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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  17.  22
    Alexander L. Kholmetskii (2006). On “Gauge Renormalization” in Classical Electrodynamics. 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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  18.  76
    Robert W. Batterman (1998). Why Equilibrium Statistical Mechanics Works: Universality and the Renormalization Group. 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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  19.  11
    Hans-Jürgen Treder & Wolfgang Yourgrau (1978). On General-Relativistic and Gauge Field Theories. 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 also (...)
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  20. Robert Batterman (2011). Emergence, Singularities, and Symmetry Breaking. 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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  21. Simon Saunders (2003). Critical Notice: Tian Yu Cao's “the Conceptual Development of 20th Century Field Theories”. [REVIEW] 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 change, and (...)
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  22. Aristidis Arageorgis (1995). Fields, Particles, and Curvature: Foundations and Philosophical Aspects of Quantum Field Theory in Curved Spacetime. 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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  23. Andreas Weiermann (2007). Phase Transition Thresholds for Some Friedman-Style Independence Results. 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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  24.  16
    Tarun Menon & Craig Callender, Turn and Face the Strange... Ch-Ch-Changes: Philosophical Questions Raised by Phase Transitions.
    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 or (...)
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  25.  34
    Marcus Alfred, Petero Kwizera, James V. Lindesay & H. Pierre Noyes (2004). A Nonperturbative, Finite Particle Number Approach to Relativistic Scattering Theory. 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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  26.  5
    William Nelson, Local and Global Definitions of Time: Cosmology and Quantum Theory.
    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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  27.  11
    Fabio Briscese, Yeinzon Rodríguez & Guillermo A. González (2012). On the True Nature of Renormalizability in Horava-Lifshitz Gravity. 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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  28.  7
    Gerard ’T. Hooft (2011). A Class of Elementary Particle Models Without Any Adjustable Real Parameters. 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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  29.  13
    Simon Saunders, Critical Notice: "The Conceptual Development of 20th Century Field Theories", by Tian Yu Cao.
    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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  30. Andreas Hüttemann, Reimer Kühn & Orestis Terzidis (2015). Stability, Emergence and Part-Whole-Reduction. In Brigitte Falkenburg & Margret Morrison (eds.), Why More Is Different. Philosophical Issues in Condensed Matter Physics and Complex Systems. Springer 169-200.
    We address the question whether there is an explanation for the fact that as Fodor put it the micro-level “converges on stable macro-level properties”, and whether there are lessons from this explanation for other issues in the vicinity. We argue that stability in large systems can be understood in terms of statistical limit theorems. In the thermodynamic limit of infinite system size N → ∞ systems will have strictly stable macroscopic properties in the sense that transitions between different macroscopic phases (...)
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  31.  26
    Andre Gsponer & Jean-Pierre Hurni (2005). Cornelius Lanczos's Derivation of the Usual Action Integral of Classical Electrodynamics. Foundations of Physics 35 (5):865-880.
    The usual action integral of classical electrodynamics is derived starting from Lanczos’s electrodynamics – a pure field theory in which charged particles are identified with singularities of the homogeneous Maxwell’s equations interpreted as a generalization of the Cauchy–Riemann regularity conditions from complex to biquaternion functions of four complex variables. It is shown that contrary to the usual theory based on the inhomogeneous Maxwell’s equations, in which charged particles are identified with the sources, there is no divergence in the self-interaction so (...)
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  32.  6
    Giampiero Esposito (2002). On the Occurrence of Mass in Field Theory. Foundations of Physics 32 (9):1459-1483.
    This paper proves that it is possible to build a Lagrangian for quantum electrodynamics which makes it explicit that the photon mass is eventually set to zero in the physical part on observational ground. Gauge independence is achieved upon considering the joint effect of gauge-averaging term and ghost fields. It remains possible to obtain a counterterm Lagrangian where the only non-gauge-invariant term is proportional to the squared divergence of the potential, while the photon propagator in momentum space falls off like (...)
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  33.  5
    Matej Pavšič (2007). Rigid Particle and its Spin Revisited. Foundations of Physics 37 (1):40-79.
    The arguments by Pandres that the double valued spherical harmonics provide a basis for the irreducible spinor representation of the three dimensional rotation group are further developed and justified. The usual arguments against the inadmissibility of such functions, concerning hermiticity, orthogonality, behaviour under rotations, etc., are all shown to be related to the unsuitable choice of functions representing the states with opposite projections of angular momentum. By a correct choice of functions and definition of inner product those difficulties do not (...)
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  34.  83
    J. C. Kimball (1998). States on the Sierpinski Triangle. Foundations of Physics 28 (1):87-105.
    States on a Sierpinski triangle are described using a formally exact and general Hamiltonian renormalization. The spectra of new (as well as previously examined) models are characterized. Numerical studies based on the renormalization suggest that the only models which exhibit absolutely continuous specta are effectively one-dimensional in the limit of large distances.
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  35.  53
    Jerzy Król (2006). A Model for Spacetime: The Role of Interpretation in Some Grothendieck Topoi. [REVIEW] Foundations of Physics 36 (7):1070-1098.
    We analyse the proposition that the spacetime structure is modified at short distances or at high energies due to weakening of classical logic. The logic assigned to the regions of spacetime is intuitionistic logic of some topoi. Several cases of special topoi are considered. The quantum mechanical effects can be generated by such semi-classical spacetimes. The issues of: background independence and general relativity covariance, field theoretic renormalization of divergent expressions, the existence and definition of path integral measures, are briefly (...)
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  36.  71
    T. Petrosky (1999). Transport Theory and Collective Modes. I. The Case of Moderately Dense Gases. Foundations of Physics 29 (9):1417-1456.
    The complex spectral representation of the Liouville operator introduced by Prigogine and others is applied to moderately dense gases interacting through hard-core potentials in arbitrary d-dimensional spaces. Kinetic equations near equilibrium are constructed in each subspace as introduced in the spectral decomposition for collective, renormalized reduced distribution functions. Our renormalization is a nonequilibrium effect, as the renormalization effect disappears at equilibrium. It is remarkable that our renormalized functions strictly obey well-defined Markovian kinetic equations for all d, even though (...)
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  37.  72
    I. Açikgöz & N. Ünal (1998). Vacuum Polarization in Self-Field Quantum Electrodynamics. Foundations of Physics 28 (5):815-828.
    We have evaluated analytically the vacuum polarization in a Coulomb field using the relativistic Dirac-Coulomb wave functions by a new method. The result is made finite by an appropriate choice of contour integrations and gives the standard result in the lowest order of iteration. We used the formalism of self-field quantum electrodynamics in the evaluation of the vacuum polarization which needs neither field quantization nor renormalization. There are no infrared or ultraviolet divergences.
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  38.  49
    Walter Metzner (2000). Superconductivity in the Two-Dimensional Hubbard Model. Foundations of Physics 30 (12):2101-2112.
    It is shown that the existence of d-wave superconductivity in the two-dimensional Hubbard model close to half-filling can be inferred from a renormalization group analysis at one-loop level.
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  39.  35
    T. Petrosky (1999). Transport Theory and Collective Modes II: Long-Time Tail and Green-Kubo Formalism. [REVIEW] Foundations of Physics 29 (10):1581-1605.
    The long-time tail effect (i.e., a non-Markovian effect) in a velocity autocorrelation function for moderately dense classical gases in d-dimensional space is estimated for arbitray n-mode coupling by superposition of the Markov equations for the collective modes which has been introduced through the complex spectral representation of the Liouville operator in the previous paper. Taking into account intermediate nonhydrodynamic modes in a transition between hydrodynamic states, we found slower decay processes in the long-time tail. These new processes lead to a (...)
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  40.  21
    Lawrence Wilets (1986). Momentum Projection of Solitons Including Quantum Corrections. Foundations of Physics 16 (2):171-185.
    The method of projection is applied to a relativistic field theory of fermions interacting with a nonlinear scalar field, specifically the Friedberg-Lee soliton model. Projection is effected by operating on a localized “bag” state with the translation operator exp (iP·Z), and integrating overZ. The resulting state is an eigenstate of zero momentum. The energy and the expectation value of other physical operators can be expressed as Gaussian moments of the Hamiltonian or the physical operator times powers of the momentum operator (...)
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  41.  21
    A. O. Barut & J. Kraus (1983). Nonperturbative Quantum Electrodynamics: The Lamb Shift. [REVIEW] 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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  42.  20
    Leonard Parker (1984). Curvature Dependence of Renormalized Coupling Constants. 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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  43.  20
    L. P. Horwitz & Ari Belenkiy (2002). Relativistic Notion of Mass and a Resolution of a Conflict Between Schopenhauer and Hegel. Foundations of Physics 32 (6):963-979.
    We discuss a mass change that has its origin in the action of forces on an object. This phenomenon, well-known in the context of quantum field theory (mass renormalization), can be discussed systematically in both classical and quantum mechanics in a framework given by Stückelberg. We employ this framework to resolve an interesting conflict of opinions between Schopenhauer and Hegel in the mid-19th century. We show that Hegel, Kant, and Schopenhauer demonstrated remarkable prescience in their views as seen from (...)
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  44.  17
    G. H. Goedecke (1983). Stochastic Electrodynamics. II. The Harmonic Oscillator-Zero-Point Field System. Foundations of Physics 13 (11):1121-1138.
    In this second paper in a series on stochastic electrodynamics the system of a charged harmonic oscillator (HO) immersed in the stochastic zero-point field is analyzed. First, a method discussed by Claverie and Diner and Sanchez-Ron and Sanz permits a finite closed form renormalization of the oscillator frequency and charge, and allows the third-order Abraham-Lorentz (AL) nonrelativistic equation of motion, in dipole approximation, to be rewritten as an ordinary second-order equation, which thereby admits a conventional phase-space description and precludes (...)
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  45.  8
    D. V. Shirkov (1986). Quantum Principles in Field Interactions. Foundations of Physics 16 (1):27-38.
    The concept of quantum principle is introduced as a principle whose formulation is based on specific quantum ideas and notions. We consider three such principles, viz, those of quantizability, local gauge symmetry, and supersymmetry, and their role in the development of the quantum field theory (QFT). Concerning the first of these, we analyze the formal aspects and physical contents of the renormalization procedure in QFT and its relation to ultraviolet divergences and the renorm group. The quantizability principle is formulated (...)
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  46.  7
    Martin Land (2003). Higher-Order Kinetic Term for Controlling Photon Mass in Off-Shell Electrodynamics. Foundations of Physics 33 (8):1157-1175.
    In relativistic classical and quantum mechanics with Poincaré-invariant parameter, particle worldlines are traced out by the evolution of spacetime events. The formulation of a covariant canonical framework for the evolving events leads to a dynamical theory in which mass conservation is demoted from a priori constraint to the status of conserved Noether current for a certain class of interactions. In pre-Maxwell electrodynamics—the local gauge theory associated with this framework —events induce five local off-shell fields, which mediate interactions between instantaneous events, (...)
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  47.  6
    H. O. Cordes (2004). The Split of the Dirac Hamiltonian Into Precisely Predictable Energy Components. Foundations of Physics 34 (8):1117-1153.
    We are dealing with the Dirac Hamiltonian H = H0 + V with no magnetic field and radially symmetric electrostatic potential V = V(r), preferably the Coulomb potential. While the observable H is precisely predictable, its components H0 (relativistic mass) and V (potential energy) are not. However they both possess precisely predictable approximations H0 ∼ and V∼ which approximate accurately if the particle is not near its nucleus. On the other hand, near 0, H0 and V are practically unpredictable, perhaps (...)
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  48.  4
    John E. Krizan (1979). Stochastic Equations of Motion with Damping. Foundations of Physics 9 (9-10):695-705.
    A nonlocal equation of motion with damping is derived by means of a Mori-Zwanzig renormalization process. The treatment is analogous to that of Mori in deriving the Langevin equation. For the case of electrodynamics, a local approximation yields the Lorentz equation; a relativistic generalization gives the Lorentz-Dirac equation. No self-acceleration or self-mass difficulties occur in the classical treatment, although runaway solutions are not eliminated. The nonrelativistic quantum case does not exhibit runaways, however, provided one remains within a weak damping (...)
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  49.  4
    J. P. Hsu (1976). Generalized Local Gauge Symmetry and the Ward-Takahashi Identities in Unified Field Theories. Foundations of Physics 6 (6):707-716.
    We discuss the symmetry basis of unified field theories, i.e., the generalized concept of local gauge symmetry, and its physical implications. The generalized Ward-Takahashi identities and the explicit constraints among renormalization constants are derived by using the path integral in a specific model. These constraints are confirmed at the one-loop level.
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