Instantons and large N : an introduction to non-perturbative methods in quantum field theory /


Marcos Mariño (University of Geneva).
Bok Engelsk 2015 Marcos Marino,· Electronic books.
Annen tittel
Omfang
1 online resource (xi, 367 pages) : : digital, PDF file(s).
Utgave
1st ed.
Opplysninger
Title from publisher's bibliographic system (viewed on 05 Oct 2015).. - Instantons in quantum mechanics -- Unstable vacua in quantum field theory -- Large order behavior and Borel summability -- Non-perturbative aspects of Yang-Mills theories -- Instantons and Fermions -- Sigma models at large N -- The 1/N expansion in quantum chromodynamics -- Matrix models and matrix quantum mechanics at large N -- Large N quantum chromodynamics in two dimensions -- Instantons at large N.. - This highly pedagogical textbook for graduate students in particle, theoretical and mathematical physics, explores advanced topics of quantum field theory. Clearly divided into two parts; the first focuses on instantons with a detailed exposition of instantons in quantum mechanics, supersymmetric quantum mechanics, the large order behavior of perturbation theory, and Yang-Mills theories, before moving on to examine the large N expansion in quantum field theory. The organised presentation style, in addition to detailed mathematical derivations, worked examples and applications throughout, enables students to gain practical experience with the tools necessary to start research. The author includes recent developments on the large order behavior of perturbation theory and on large N instantons, and updates existing treatments of classic topics, to ensure that this is a practical and contemporary guide for students developing their understanding of the intricacies of quantum field theory.
Emner
Sjanger
Dewey
ISBN
9781107068520

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