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Kontsevich's deformation quantizatio...

Moshayedi, Nima.

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Kontsevich's deformation quantization and quantum field theory

Record Type:	Electronic resources : Monograph/item
Title/Author:	Kontsevich's deformation quantization and quantum field theory/ by Nima Moshayedi.
Author:	Moshayedi, Nima.
Published:	Cham :Springer International Publishing : : 2022.,
Description:	xiii, 336 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Quantum field theory - Mathematics. -
Online resource:	https://doi.org/10.1007/978-3-031-05122-7
ISBN:	9783031051227

Kontsevich's deformation quantization and quantum field theory
Moshayedi, Nima.

Kontsevich's deformation quantization and quantum field theory[electronic resource] /by Nima Moshayedi. - Cham :Springer International Publishing :2022. - xiii, 336 p. :ill. (some col.), digital ;24 cm. - Lecture notes in mathematics,v. 23111617-9692 ;. - Lecture notes in mathematics ;v. 2311..

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.

ISBN: 9783031051227

Standard No.: 10.1007/978-3-031-05122-7doiSubjects--Topical Terms:

658956
Quantum field theory
--Mathematics.

LC Class. No.: QC174.52.D45 / M67 2022

Dewey Class. No.: 530.143

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520 $a 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.
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