03590nam 22006975 450 991058658060332120240221123514.09783031051227(electronic bk.)978303105121010.1007/978-3-031-05122-7(MiAaPQ)EBC7073114(Au-PeEL)EBL7073114(CKB)24375990200041(DE-He213)978-3-031-05122-7(PPN)264191137(EXLCZ)992437599020004120220811d2022 u| 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierKontsevich’s Deformation Quantization and Quantum Field Theory /by Nima Moshayedi1st ed. 2022.Cham :Springer International Publishing :Imprint: Springer,2022.1 online resource (345 pages)Lecture Notes in Mathematics,1617-9692 ;2311Print version: Moshayedi, Nima Kontsevich's Deformation Quantization and Quantum Field Theory Cham : Springer International Publishing AG,c2022 9783031051210 Includes bibliographical references and index.This 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.Lecture Notes in Mathematics,1617-9692 ;2311Geometry, DifferentialManifolds (Mathematics)Global analysis (Mathematics)Quantum physicsDifferential GeometryManifolds and Cell ComplexesGlobal Analysis and Analysis on ManifoldsQuantum PhysicsTeoria quàntica de campsthubMatemàticathubLlibres electrònicsthubGeometry, Differential.Manifolds (Mathematics).Global analysis (Mathematics).Quantum physics.Differential Geometry.Manifolds and Cell Complexes.Global Analysis and Analysis on Manifolds.Quantum Physics.Teoria quàntica de campsMatemàtica530.143530.143Moshayedi Nima1253162MiAaPQMiAaPQMiAaPQ9910586580603321Kontsevich's Deformation Quantization and Quantum Field Theory2905302UNINA