The Global Approach to Quantum Field Theory

Bryce S DeWitt

Edité par Oxford University Press, 2003
ISBN 10: 0198510934 / ISBN 13: 9780198510932
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Language: English . Brand New Book. The book shows how classical field theory, quantum mechanics, and quantum field theory are related. The description is global from the outset. Quantization is explained using the Peierls bracket rather than the Poisson bracket. This allows one to deal immediately with observables, bypassing the canonical formalism of constrained Hamiltonian systems and bigger-than-physical Hilbert (or Fock) spaces. The Peierls bracket leads directly to the Schwinger variational principle and the Feynman functional integral, the latter of which is taken as defining the quantum theory. Also included are the theory of tree amplitudes and conservation laws, which are presented classically and later extended to the quantum level. The quantum theory is developed from the many-worlds viewpoint, and ordinary path integrals and the topological issues to which they give rise are studied in some detail. The theory of mode functions and Bogoliubov coefficients for linear fields is fully developed, and then the quantum theory of nonlinear fields is confronted. The effective action, correlation functions and counter terms all make their appearance at this point, and the S-matrix is constructed via the introduction of asymptotic fields and the LSZ theorem. Gauge theories and ghosts are studied in great detail. Many applications of the formalism are given: vacuum currents, anomalies, black holes, fourth-order systems, higher spin fields, the (lambda phi) to the fourth power model (and spontaneous symmetry breaking), quantum electrodynamics, the Yang-Mills field and its topology, the gravitational field, etc. Special chapters are devoted to Euclideanization and renormalization, space and time inversion, and the closed-time-path or in-in formalism. Emphasis is given throughout to the role of the functional-integral measure in the theory. Six helpful appendices, ranging from superanalysis to analytic continuation in dimension, are included at the end. N° de réf. du libraire

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Synopsis : This new volume takes a complete look at how classical field theory, quantum mechanics and quantum field theory are interrelated. It takes a global approach and discusses the importance of quantization by relating it to different theories such as tree amplitude and conservation laws. There are special chapters devoted to Euclideanization and renormalization, space and time inversion and the closed-time-path formalism.

About the Author: Prof. Bryce DeWitt 2411 Vista Lane Austin, Texas 78703 dewitt@physics.utexas.edu tel: 001-512-478-6037 fax: 001-512-471-0890 Birthplace: Dinuba, California, 8 January 1923

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Détails bibliographiques

Titre : The Global Approach to Quantum Field Theory
Éditeur : Oxford University Press
Date d'édition : 2003
Reliure : Multiple copy pack
Etat du livre : New
Edition : 2nd ed..

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1.

Bryce DeWitt
Edité par Clarendon Press (2003)
ISBN 10 : 0198510934 ISBN 13 : 9780198510932
Ancien(s) ou d'occasion Couverture rigide Quantité : 1
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Anybook Ltd.
(Lincoln, Royaume-Uni)
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Description du livre Clarendon Press, 2003. État : Good. Volumes 1 and 2. This is an ex-library book and may have the usual library/used-book markings inside.This book has hardback covers. In good all round condition. No dust jacket. N° de réf. du libraire 5856251

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2.

DeWitt, Bryce
ISBN 10 : 0198510934 ISBN 13 : 9780198510932
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Atmosphere Books
(DH, SE, Espagne)
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Description du livre Pack. État : Muy Bueno / Very Good. N° de réf. du libraire 100000000665198

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