Science & Math | Scientific Reference

Introduction to a Renormalisation Group Method

by Roland Bauerschmidt

2020-05-26 22:59:15

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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. I... Read more

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 Ï4 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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Book Details

Publication date October 16, 2019
Languageeng
ISBN9789813295933
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Roland Bauerschmidt
Author
Roland Bauerschmidt is a University Lecturer in the Department of Pure Mathematics and Mathematical Statistics at the University of Cambridge. His work mainly focuses on the applications of proba...

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