LEADER 03591nam 22006855 450 001 996485661903316 005 20240221123514.0 010 $a9783031051227$b(electronic bk.) 010 $z9783031051210 024 7 $a10.1007/978-3-031-05122-7 035 $a(MiAaPQ)EBC7073114 035 $a(Au-PeEL)EBL7073114 035 $a(CKB)24375990200041 035 $a(DE-He213)978-3-031-05122-7 035 $a(PPN)264191137 035 $a(EXLCZ)9924375990200041 100 $a20220811d2022 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aKontsevich?s Deformation Quantization and Quantum Field Theory$b[electronic resource] /$fby Nima Moshayedi 205 $a1st ed. 2022. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2022. 215 $a1 online resource (345 pages) 225 1 $aLecture Notes in Mathematics,$x1617-9692 ;$v2311 311 08$aPrint version: Moshayedi, Nima Kontsevich's Deformation Quantization and Quantum Field Theory Cham : Springer International Publishing AG,c2022 9783031051210 320 $aIncludes bibliographical references and index. 330 $aThis book provides an introduction to deformation quantization and its relation to quantum field theory, with a focus on the constructions of Kontsevich and Cattaneo & Felder. This subject originated from an attempt to understand the mathematical structure when passing from a commutative classical algebra of observables to a non-commutative quantum algebra of observables. Developing deformation quantization as a semi-classical limit of the expectation value for a certain observable with respect to a special sigma model, the book carefully describes the relationship between the involved algebraic and field-theoretic methods. The connection to quantum field theory leads to the study of important new field theories and to insights in other parts of mathematics such as symplectic and Poisson geometry, and integrable systems. Based on lectures given by the author at the University of Zurich, the book will be of interest to graduate students in mathematics or theoretical physics. Readers will be able to begin the first chapter after a basic course in Analysis, Linear Algebra and Topology, and references are provided for more advanced prerequisites. 410 0$aLecture Notes in Mathematics,$x1617-9692 ;$v2311 606 $aGeometry, Differential 606 $aManifolds (Mathematics) 606 $aGlobal analysis (Mathematics) 606 $aQuantum physics 606 $aDifferential Geometry 606 $aManifolds and Cell Complexes 606 $aGlobal Analysis and Analysis on Manifolds 606 $aQuantum Physics 606 $aTeoria quāntica de camps$2thub 606 $aMatemātica$2thub 608 $aLlibres electrōnics$2thub 615 0$aGeometry, Differential. 615 0$aManifolds (Mathematics). 615 0$aGlobal analysis (Mathematics). 615 0$aQuantum physics. 615 14$aDifferential Geometry. 615 24$aManifolds and Cell Complexes. 615 24$aGlobal Analysis and Analysis on Manifolds. 615 24$aQuantum Physics. 615 7$aTeoria quāntica de camps 615 7$aMatemātica 676 $a530.143 700 $aMoshayedi$b Nima$01253162 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 912 $a996485661903316 996 $aKontsevich's Deformation Quantization and Quantum Field Theory$92905302 997 $aUNISA