說明 
xiii, 334 pages : illustrations ; 24 cm 

text txt rdacontent 

unmediated n rdamedia 

volume nc rdacarrier 
系列 
Lecture notes in mathematics, 00758434 ; volume 2311


Lecture notes in mathematics (SpringerVerlag) ; 2311. 00758434

附註 
Includes bibliographical references (pages 321327) and index 

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 

Current copyright fee: GBP19.00 42\0. Uk 
鏈接 
Online version: Moshayedi, Nima. Kontsevich's deformation quantization and quantum field theory.
Cham : Springer, [2022] 9783031051227
(OCoLC)1341843965

主題 
Quantum field theory  Mathematics


Quantum field theory  Mathematics.
fast (OCoLC)fst01085108

Alt Author 
Schweizerischer Nationalfonds zur F诲derung der Wissenschaftlichen Forschung

