| Document Type
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BL
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| Record Number
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860417
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| Main Entry
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Dütsch, Michael
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| Title & Author
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From classical field theory to perturbative quantum field theory /\ Michael Dütsch.
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| Publication Statement
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Cham, Switzerland :: Birkhäuser,, 2019.
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| Series Statement
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Progress in mathematical physics,; volume 74
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| Page. NO
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1 online resource (xxi, 536 pages)
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| ISBN
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3030047385
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: 9783030047382
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9783030047375
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| Bibliographies/Indexes
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Includes bibliographical references and index.
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| Contents
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Classical field theory -- Deformation quantization of the free theory -- Perturbative quantum field theory -- Symmetries -- the Master Ward Identity -- Quantum electrodynamics.
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| Abstract
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This book develops a novel approach to perturbative quantum field theory: starting with a perturbative formulation of classical field theory, quantization is achieved by means of deformation quantization of the underlying free theory and by applying the principle that as much of the classical structure as possible should be maintained. The resulting formulation of perturbative quantum field theory is a version of the Epstein-Glaser renormalization that is conceptually clear, mathematically rigorous and pragmatically useful for physicists. The connection to traditional formulations of perturbative quantum field theory is also elaborated on, and the formalism is illustrated in a wealth of examples and exercises.
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| Subject
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Quantum field theory.
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| Subject
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Quantum field theory.
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Number Theory.
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Differential Geometry.
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Partial Differential Equations.
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| Subject
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Quantum Computing.
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| Dewey Classification
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530.14/3
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| LC Classification
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QC174.45
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