LEADER 03279nam 22006615 450 001 9910349327403321 005 20251113185724.0 010 $a981-329-593-7 024 7 $a10.1007/978-981-32-9593-3 035 $a(CKB)4100000009606197 035 $a(MiAaPQ)EBC5946132 035 $a(DE-He213)978-981-32-9593-3 035 $a(PPN)241116740 035 $a(EXLCZ)994100000009606197 100 $a20191016d2019 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aIntroduction to a Renormalisation Group Method /$fby Roland Bauerschmidt, David C. Brydges, Gordon Slade 205 $a1st ed. 2019. 210 1$aSingapore :$cSpringer Nature Singapore :$cImprint: Springer,$d2019. 215 $a1 online resource (xii, 283 pages) $cillustrations 225 1 $aLecture Notes in Mathematics,$x1617-9692 ;$v2242 311 08$a981-329-591-0 320 $aIncludes bibliographical references and index. 330 $aThis is a primer on a mathematically rigorous renormalisation group theory, presenting mathematical techniques fundamental to renormalisation group analysis such as Gaussian integration, perturbative renormalisation and the stable manifold theorem. It also provides an overview of fundamental models in statistical mechanics with critical behaviour, including the Ising and ?4 models and the self-avoiding walk. The book begins with critical behaviour and its basic discussion in statistical mechanics models, and subsequently explores perturbative and non-perturbative analysis in the renormalisation group. Lastly it discusses the relation of these topics to the self-avoiding walk and supersymmetry. Including exercises in each chapter to help readers deepen their understanding, it is a valuable resource for mathematicians and mathematical physicists wanting to learn renormalisation group theory. 410 0$aLecture Notes in Mathematics,$x1617-9692 ;$v2242 606 $aMathematical physics 606 $aParticles (Nuclear physics) 606 $aQuantum field theory 606 $aSystem theory 606 $aMathematical Physics 606 $aElementary Particles, Quantum Field Theory 606 $aTheoretical, Mathematical and Computational Physics 606 $aMathematical Methods in Physics 606 $aComplex Systems 615 0$aMathematical physics. 615 0$aParticles (Nuclear physics) 615 0$aQuantum field theory. 615 0$aSystem theory. 615 14$aMathematical Physics. 615 24$aElementary Particles, Quantum Field Theory. 615 24$aTheoretical, Mathematical and Computational Physics. 615 24$aMathematical Methods in Physics. 615 24$aComplex Systems. 676 $a530.1430151 700 $aBauerschmidt$b Roland$4aut$4http://id.loc.gov/vocabulary/relators/aut$0769120 702 $aBrydges$b David C$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aSlade$b G$g(Gordon),$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910349327403321 996 $aIntroduction to a Renormalisation Group Method$92513903 997 $aUNINA