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Author:   Jean Zinn-Justin
Publisher:   Oxford University Press
Imprint:   Clarendon Press
Edition:   2nd Revised edition
Volume:   v.85
Dimensions:   Width: 15.60cm , Height: 6.20cm , Length: 23.40cm
Weight:   1.856kg
ISBN:  

9780198520535

ISBN 10:   0198520530
Pages:   1020
Publication Date:   01 March 1993
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   To order  
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Table of Contents

"Algebraic preliminaries; Euclidean path integrals in quantum mechanics; Path integrals in quantum mechanics - generalizations; stochastic differential equations - Langevin, Fokker-Planck equations; functional integrals in field theory; generating functionals of correlation functions - loopwise expansion; divergences in pertubation theory, power counting; regularization methods; introduction to renormalization theory - renormalization group equations; dimensional regularization and minimal subtraction - calculation of RG functions; renormalization of composite operators - short distance expansion; linearly realized symmetries and renormalization; non linearly realized symmetries - the examples of the non linear sigma-model; models on homogeneous spaces in two dimensions; tensorial analysis on Riemannian manifolds; symmetric spaces - non local conservation laws, renormalization group; Slavnov-Taylor and BRS symmetry - stochastic field equations; renormalization and stochastic field equations - supersymmtery; Abelian gauge theories; non-Abelian gauge theories; the standard model - anomalies; renormalization of gauge theories - general formalism; critical phenomena - general considerations; mean field theory for ferromagnetic systems; general renormalization group analysis - the critical theory near dimension four; scaling behaviour in the critical domain; corrections to scaling behaviour; calculation of universal quantities; the (phi squared) squared field theory in the large N limit; ferromagnetic order at low temperature - the non linear sigma-model; a few two-dimensional models - bosonization technique; the 0 (2) non linear sigma-model; critical properties of gauge theories; large momentum behaviour in field theory; critical dynamics; field theory in a finite geometry - finite size scaling; instantons in quantum mechanics - the anharmonic oscillator; quantum mechanics - generalization; unstable vacua in field theory; degenerate classical minima and instantons; perturbation theory at large orders and instantons - the summation problem; the ""phi to the fourth"" field theory in dimension four; fermions and large order behaviour; multi-instantons in quantum mechanics."

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