Instantons and large N : an introduction to non-perturbative methods in quantum field theory / Marcos Mariño (University of Geneva).

Call Number	530.14/3
Author	Marino, Marcos, author.
Title	Instantons and large N : an introduction to non-perturbative methods in quantum field theory / Marcos Mariño (University of Geneva). Instantons & Large N
Physical Description	1 online resource (xi, 367 pages) : digital, PDF file(s).
Notes	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
Contents	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.
Summary	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.
Subject	INSTANTONS. QUANTUM FIELD THEORY.
Multimedia	https://doi.org/10.1017/CBO9781107705968

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$a 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.

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Summary	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.
Notes	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
Contents	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.
Subject	INSTANTONS. QUANTUM FIELD THEORY.
Multimedia	https://doi.org/10.1017/CBO9781107705968