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Quantum Field Theory and Critical Phenomena (International Series of Monographs on Physics) – Jean Zinn-Justin

2008 January 21

  • Title: Quantum Field Theory and Critical Phenomena (International Series of Monographs on Physics)
  • Author: Jean Zinn-Justin
  • Pages: 1032 pages
  • Publisher: Oxford University Press, USA; 3 edition (August 22, 1996)
  • Language: English
  • ISBN-10: 019851882X
  • ISBN-13: 978-0198518822

Review
‘…the author unfolds the fascinating story of path integrals, asymptotic freeness, spontaneous symmetry breaking, BRS quantization and renormalization group procedures. He thus produced the most penetrating and comprehensive work I know of.’ G. Roepstorff, Zentrallblatt fur Mathematik und ihre Grenzgebiete, no. 865, 1997

Book Description
Over the last twenty years quantum field theory has become not only the framework for the discussion of all fundamental interactions except gravity, but also for the understanding of second-order phase transitions in statistical mechanics. This advanced text is based on graduate courses and summer schools given by the author over a number of years. It approaches the subject in terms of path and functional intergrals, adopting a Euclidean metric and using the language of partition and correlation functions. Renormalization and the renormalization group are examined, as are critical phenomena and the role of instantons. Changes for this edition

1. Extensive revision to eliminate a few bugs that had survived the second edition and (mainly) to improve the pedagogical presentation, as a result of experience gathered by lecturing.

2. Additional new topics; holomorphic or coherent state path integral; functional integral and representation of the field theory S-matrix in the holomorphic formalis; non-relativistic limit of massive quantization and brief discussion of non-renormalization of quantum gravity based on Einstein action.

3. Finally 65 pages of solutions or hints of solutions to the exercises at the ends of chapters.

About the Author
J. Zinn-Justin, Physicist, Service de Physique Theorique de Saclay, Commisariat a l’Energie Atomique – Direction des Sciences de la Matiere, Gif sur Yvette.

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