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An Introduction to Non-Perturbative Foundations of Quantum Field Theory
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An Introduction to Non-Perturbative Foundations of Quantum Field Theory

Franco Strocchi

Abstract

The book begins by discussing i) the conflict between locality or hyperbolicity and positivity of the energy for relativistic wave equations, which marks the origin of quantum field theory, and ii) the mathematical problems of the perturbative expansion (canonical quantization, interaction picture, non-Fock representation, asymptotic convergence of the series, and so on). The general physical principles of positivity of the energy, Poincaré covariance, and locality provide a substitute for canonical quantization, qualify the non-perturbative foundations, and lead to very relevant results, such ... More

Keywords: non-perturbative foundations of QFT and of gauge QFT, non-perturbative treatment of Higgs mechanism and of chiral breaking in QCD

Bibliographic Information

Print publication date: 2013 Print ISBN-13: 9780199671571
Published to Oxford Scholarship Online: May 2013 DOI:10.1093/acprof:oso/9780199671571.001.0001

Authors

Affiliations are at time of print publication.

Franco Strocchi, author
Senior Research Fellow, National Institute for Nuclear Research, Pisa, Italy

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