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＜電子ブック＞
Introduction to a Renormalisation Group Method / by Roland Bauerschmidt, David C. Brydges, Gordon Slade
(Lecture Notes in Mathematics. ISSN:16179692 ; 2242)

版	1st ed. 2019.
出版者	(Singapore : Springer Nature Singapore : Imprint: Springer)
出版年	2019
本文言語	英語
大きさ	XII, 283 p. 17 illus., 2 illus. in color : online resource
著者標目	*Bauerschmidt, Roland author Brydges, David C author Slade, Gordon author SpringerLink (Online service)
件　名	LCSH:Mathematical physics LCSH:Elementary particles (Physics) LCSH:Quantum field theory LCSH:System theory FREE:Mathematical Physics FREE:Elementary Particles, Quantum Field Theory FREE:Theoretical, Mathematical and Computational Physics FREE:Mathematical Methods in Physics FREE:Complex Systems
一般注記	This is a primer on a mathematically rigorous renormalisation group theory, presenting mathematical techniques fundamental to renormalisation group analysis such as Gaussian integration, perturbative renormalisation and the stable manifold theorem. It also provides an overview of fundamental models in statistical mechanics with critical behaviour, including the Ising and φ4 models and the self-avoiding walk. The book begins with critical behaviour and its basic discussion in statistical mechanics models, and subsequently explores perturbative and non-perturbative analysis in the renormalisation group. Lastly it discusses the relation of these topics to the self-avoiding walk and supersymmetry. Including exercises in each chapter to help readers deepen their understanding, it is a valuable resource for mathematicians and mathematical physicists wanting to learn renormalisation group theory HTTP:URL=https://doi.org/10.1007/978-981-32-9593-3

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