| 书目名称 | Kontsevich’s Deformation Quantization and Quantum Field Theory |
| 编辑 | Nima Moshayedi |
| 视频video | http://file.papertrans.cn/546/545624/545624.mp4 |
| 概述 | Explains the connection between Kontsevich‘s deformation quantization and QFT.Provides a concise introduction to Differential, Symplectic and Poisson Geometry.Includes numerous examples and exercises |
| 丛书名称 | Lecture Notes in Mathematics |
| 图书封面 |  |
| 描述 | 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.. |
| 出版日期 | Book 2022 |
| 关键词 | Deformation Quantization; Differential Geometry; Symplectic Geometry; Poisson Sigma Model; Quantum Field |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-031-05122-7 |
| isbn_softcover | 978-3-031-05121-0 |
| isbn_ebook | 978-3-031-05122-7Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
| issn_series | 0075-8434 |
| copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
|Archiver|手机版|小黑屋|
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