03286nam 22006615 450 991034932740332120251113185724.0981-329-593-710.1007/978-981-32-9593-3(CKB)4100000009606197(MiAaPQ)EBC5946132(DE-He213)978-981-32-9593-3(PPN)241116740(EXLCZ)99410000000960619720191016d2019 u| 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierIntroduction to a Renormalisation Group Method /by Roland Bauerschmidt, David C. Brydges, Gordon Slade1st ed. 2019.Singapore :Springer Nature Singapore :Imprint: Springer,2019.1 online resource (xii, 283 pages) illustrationsLecture Notes in Mathematics,1617-9692 ;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,1617-9692 ;2242Mathematical physicsElementary particles (Physics)Quantum field theorySystem theoryMathematical PhysicsElementary Particles, Quantum Field TheoryTheoretical, Mathematical and Computational PhysicsMathematical Methods in PhysicsComplex SystemsMathematical physics.Elementary particles (Physics).Quantum field theory.System theory.Mathematical Physics.Elementary Particles, Quantum Field Theory.Theoretical, Mathematical and Computational Physics.Mathematical Methods in Physics.Complex Systems.530.1430151Bauerschmidt Rolandauthttp://id.loc.gov/vocabulary/relators/aut769120Brydges David Cauthttp://id.loc.gov/vocabulary/relators/autSlade G(Gordon),authttp://id.loc.gov/vocabulary/relators/autMiAaPQMiAaPQMiAaPQBOOK9910349327403321Introduction to a Renormalisation Group Method2513903UNINA