书目名称 | Introduction to a Renormalisation Group Method |
编辑 | Roland Bauerschmidt,David C. Brydges,Gordon Slade |
视频video | |
概述 | Introduces mathematically rigorous renormalisation group theory.Explores mathematically rigorous approaches.Based on the lecture notes for summer school courses |
丛书名称 | Lecture Notes in Mathematics |
图书封面 |  |
描述 | .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 φ.4. 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.. |
出版日期 | Book 2019 |
关键词 | Gaussian Integration; Gaussian Measures; Ising Model; Perturbative Renormalisation; Phi^4 Spin Model; Ren |
版次 | 1 |
doi | https://doi.org/10.1007/978-981-32-9593-3 |
isbn_softcover | 978-981-32-9591-9 |
isbn_ebook | 978-981-32-9593-3Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
issn_series | 0075-8434 |
copyright | Springer Nature Singapore Pte Ltd. 2019 |