TY  - BOOK
AU  - Bauerschmidt,Roland
AU  - Brydges,David C.
AU  - Slade,Gordon
ED  - SpringerLink (Online service)
TI  - Introduction to a Renormalisation Group Method
T2  - Lecture Notes in Mathematics,
SN  - 9789813295933
AV  - QA401-425 
U1  - 530.15 23
PY  - 2019///
CY  - Singapore
PB  - Springer Singapore, Imprint: Springer
KW  - Mathematical physics
KW  - Quantum field theory
KW  - String theory
KW  - Statistical physics
KW  - Physics
KW  - Dynamical systems
KW  - Mathematical Physics
KW  - Quantum Field Theories, String Theory
KW  - Statistical Physics and Dynamical Systems
KW  - Mathematical Methods in Physics
KW  - Complex Systems
N2  - 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
UR  - https://doi.org/10.1007/978-981-32-9593-3
ER  -