03744nam 22007095 450 99646665520331620201109120454.0981-329-593-710.1007/978-981-32-9593-3(CKB)4100000009606197(MiAaPQ)EBC5946132(DE-He213)978-981-32-9593-3(PPN)241116740(EXLCZ)99410000000960619720191016d2019 u| 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierIntroduction to a Renormalisation Group Method[electronic resource] /by Roland Bauerschmidt, David C. Brydges, Gordon Slade1st ed. 2019.Singapore :Springer Singapore :Imprint: Springer,2019.1 online resource (xii, 283 pages) illustrationsLecture Notes in Mathematics,0075-8434 ;2242981-329-591-0 Includes bibliographical references and index.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.Lecture Notes in Mathematics,0075-8434 ;2242Mathematical physicsQuantum field theoryString theoryStatistical physicsPhysicsDynamical systemsMathematical Physicshttps://scigraph.springernature.com/ontologies/product-market-codes/M35000Quantum Field Theories, String Theoryhttps://scigraph.springernature.com/ontologies/product-market-codes/P19048Statistical Physics and Dynamical Systemshttps://scigraph.springernature.com/ontologies/product-market-codes/P19090Mathematical Methods in Physicshttps://scigraph.springernature.com/ontologies/product-market-codes/P19013Complex Systemshttps://scigraph.springernature.com/ontologies/product-market-codes/P33000Mathematical 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.530.1430151Bauerschmidt Rolandauthttp://id.loc.gov/vocabulary/relators/aut769120Brydges David Cauthttp://id.loc.gov/vocabulary/relators/autSlade Gordonauthttp://id.loc.gov/vocabulary/relators/autMiAaPQMiAaPQMiAaPQBOOK996466655203316Introduction to a Renormalisation Group Method2513903UNISA