Introduction to a Renormalisation Group Method

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Synopsis

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.

Book details

Edition:
1st ed. 2019
Series:
Lecture Notes in Mathematics (Book 2242)
Author:
Roland Bauerschmidt, David C. Brydges, Gordon Slade
ISBN:
9789813295933
Related ISBNs:
9789813295919
Publisher:
Springer Singapore, Singapore
Pages:
N/A
Reading age:
Not specified
Includes images:
Yes
Date of addition:
2019-10-24
Usage restrictions:
Copyright
Copyright date:
2019
Copyright by:
Springer Nature Singapore Pte Ltd. 
Adult content:
No
Language:
English
Categories:
Earth Sciences, Mathematics and Statistics, Nonfiction, Science