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Author Moshayedi, Nima, author.

Title Kontsevich’s deformation quantization and quantum field theory / Nima Moshayedi
Published Cham : Springer, [2022]


Description 1 online resource (xiii, 336 pages) : illustrations (some color)
Series Lecture notes in mathematics, 1617-9692 ; volume 2311
Lecture notes in mathematics (Springer-Verlag) ; 2311. 1617-9692
Summary 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
Bibliography Includes bibliographical references and index
Notes Online resource; title from PDF title page (SpringerLink, viewed August 23, 2022)
Subject Quantum field theory -- Mathematics
Quantum field theory -- Mathematics.
Form Electronic book
ISBN 9783031051227