Jean Zinn-Justin

Cea/Saclay Service de Physique Theorique Jean Zinn-Justin

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 therenormalization group are examined, as are critical phenomena and the role of instantons.Changes for this edition1. 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 Einsteinaction.3. Finally 65 pages of solutions or hints of solutions to the exercises at the ends of chapters.

Cea/Saclay Service de Physique Theorique Jean Zinn-Justin

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