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Nome campo	dettagli
Dewey Class	516.36
Titolo	Kontsevich’s Deformation Quantization and Quantum Field Theory ([EBook]) / Nima Moshayedi
Autore	Moshayedi, Nima
Pubblicazione	Cham : Springer International Publishing , 2022
Physical Details	: online resource (xiii, 336 p.)
Serie	Lecture Notes in Mathematics ; 2311
ISBN	978-3-031-05122-7
Summary Note	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. (provided by publisher):
Mode of acces to digital resource	Digital reproduction.- Cham : Springer International Publishing, 2022. - Digital 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
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	https://doi.org/10.1007/978-3-031-05122-7
Link alle Opere Legate	Riferimenti soggetto: . Differential Geometry . Manifolds (Mathematics) . Quantum Physics . Authors: Moshayedi, Nima . Series: Lecture Notes in Mathematics . Classification: 516.36 .

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Kontsevich’s Deformation Quantization and Quantum Field Theory

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