Description 
1 online resource (xiii, 336 pages) : illustrations (some color) 
Series 
Lecture notes in mathematics, 16179692 ; volume 2311 

Lecture notes in mathematics (SpringerVerlag) ; 2311. 16179692

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 noncommutative quantum algebra of observables. Developing deformation quantization as a semiclassical 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 fieldtheoretic 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 

303105122X 

9788303105127 

8303105124 
