Introduction to a Renormalisation Group Method
Bauerschmidt, Roland.
Introduction to a Renormalisation Group Method [electronic resource] / by Roland Bauerschmidt, David C. Brydges, Gordon Slade. - 1st ed. 2019. - XII, 283 p. 17 illus., 2 illus. in color. online resource. - Lecture Notes in Mathematics, 2242 0075-8434 ; . - Lecture Notes in Mathematics, 2242 .
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.
9789813295933
10.1007/978-981-32-9593-3 doi
Indica Technologies & Services Pvt. Ltd., 7/31, Ansari Road, Daryaganj, New Delhi-110002
Mathematical physics.
Quantum field theory.
String theory.
Statistical physics.
Physics.
Dynamical systems.
Mathematical Physics.
Quantum Field Theories, String Theory.
Statistical Physics and Dynamical Systems.
Mathematical Methods in Physics.
Complex Systems.
QA401-425 QC19.2-20.85
530.15
Introduction to a Renormalisation Group Method [electronic resource] / by Roland Bauerschmidt, David C. Brydges, Gordon Slade. - 1st ed. 2019. - XII, 283 p. 17 illus., 2 illus. in color. online resource. - Lecture Notes in Mathematics, 2242 0075-8434 ; . - Lecture Notes in Mathematics, 2242 .
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.
9789813295933
10.1007/978-981-32-9593-3 doi
Indica Technologies & Services Pvt. Ltd., 7/31, Ansari Road, Daryaganj, New Delhi-110002
Mathematical physics.
Quantum field theory.
String theory.
Statistical physics.
Physics.
Dynamical systems.
Mathematical Physics.
Quantum Field Theories, String Theory.
Statistical Physics and Dynamical Systems.
Mathematical Methods in Physics.
Complex Systems.
QA401-425 QC19.2-20.85
530.15