Kontsevich's Deformation Quantization and Quantum Field Theory

Language: English

Published by Springer International Publishing AG, CH, 2022

3031051211 / 9783031051210

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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 and 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.…

Seller Inventory # LU-9783031051210

Title
Kontsevich's Deformation Quantization and Quantum Field Theory
Author
Nima Moshayedi
Publisher
Springer International Publishing AG, CH
Publication year
2022
Condition
New
Binding
Paperback
Language
English
ISBN 10
3031051211
ISBN 13
9783031051210
Edition
1st ed. 2022.

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