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作者 Moshayedi, Nima, author
書名 Kontsevich's deformation quantization and quantum field theory / Nima Moshayedi
出版項 Cham, Switzerland : Springer Nature Switzerland AG, [2022]
國際標準書號 9783031051210
book jacket
館藏地 索書號 處理狀態 OPAC 訊息 條碼
 數學所圖書室  QC174.45 .M67 2022    在架上    30340200572885
說明 xiii, 334 pages : illustrations ; 24 cm
text txt rdacontent
unmediated n rdamedia
volume nc rdacarrier
系列 Lecture notes in mathematics, 0075-8434 ; volume 2311
Lecture notes in mathematics (Springer-Verlag) ; 2311. 0075-8434
附註 Includes bibliographical references (pages 321-327) 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 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
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
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