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portada Introduction to a Renormalisation Group Method: 2242 (Lecture Notes in Mathematics)
Type
Physical Book
Publisher
Author
Year
2019
Language
English
Pages
295
Format
Paperback
ISBN13
9789813295919
Edition No.
1
Categories

Introduction to a Renormalisation Group Method: 2242 (Lecture Notes in Mathematics)

Roland Bauerschmidt (Author) · Springer · Paperback

Introduction to a Renormalisation Group Method: 2242 (Lecture Notes in Mathematics) - Roland Bauerschmidt

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Synopsis "Introduction to a Renormalisation Group Method: 2242 (Lecture Notes in Mathematics) "

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.

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