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101 0 $aeng
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200 10$aIntroduction to a Renormalisation Group Method$b[electronic resource] /$fby Roland Bauerschmidt, David C. Brydges, Gordon Slade
205   $a1st ed. 2019.
210  1$aSingapore :$cSpringer Singapore :$cImprint: Springer,$d2019.
215   $a1 online resource (xii, 283 pages) $cillustrations
225 1 $aLecture Notes in Mathematics,$x0075-8434 ;$v2242
311   $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,$x0075-8434 ;$v2242
606   $aMathematical physics
606   $aQuantum field theory
606   $aString theory
606   $aStatistical physics
606   $aPhysics
606   $aDynamical systems
606   $aMathematical Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/M35000
606   $aQuantum Field Theories, String Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/P19048
606   $aStatistical Physics and Dynamical Systems$3https://scigraph.springernature.com/ontologies/product-market-codes/P19090
606   $aMathematical Methods in Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P19013
606   $aComplex Systems$3https://scigraph.springernature.com/ontologies/product-market-codes/P33000
615  0$aMathematical physics.
615  0$aQuantum field theory.
615  0$aString theory.
615  0$aStatistical physics.
615  0$aPhysics.
615  0$aDynamical systems.
615 14$aMathematical Physics.
615 24$aQuantum Field Theories, String Theory.
615 24$aStatistical Physics and Dynamical Systems.
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 Gordon$4aut$4http://id.loc.gov/vocabulary/relators/aut
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a996466655203316
996   $aIntroduction to a Renormalisation Group Method$92513903
997   $aUNISA

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