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MARC 21

Kontsevich’s Deformation Quantization and Quantum Field Theory
Tag	Description
020	$a978-3-031-05122-7
082	$a516.36
099	$aOnline resource: Springer
100	$aMoshayedi, Nima
245	$aKontsevich’s Deformation Quantization and Quantum Field Theory$h[EBook]$cNima Moshayedi
260	$aCham$bSpringer International Publishing$c2022
300	$bonline resource (xiii, 336 p.)
440	$aLecture notes in mathematics.$v2311
520	$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. (provided by publisher)
533	$aDigital reproduction.-$bCham :$cSpringer International Publishing,$d2022. -$nDigital book. Cham Springer Nature 2022. - Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in PDF format
538	$aOnline access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
856	$uhttps://doi.org/10.1007/978-3-031-05122-7