| 书目名称 | Infinite-Dimensional Dirac Operators and Supersymmetric Quantum Fields |
| 副标题 | An Introduction to A |
| 编辑 | Asao Arai |
| 视频video | |
| 概述 | Provides an introductory description of the theory of mathematical supersymmetric quantum field theory.Clarifies general mathematical structures that some supersymmetric quantum field models have in c |
| 丛书名称 | SpringerBriefs in Mathematical Physics |
| 图书封面 |  |
| 描述 | This book explains the mathematical structures of supersymmetric quantum field theory (SQFT) from the viewpoints of functional and infinite-dimensional analysis. The main mathematical objects are infinite-dimensional Dirac operators on the abstract Boson–Fermion Fock space. The target audience consists of graduate students and researchers who are interested in mathematical analysis of quantum fields, including supersymmetric ones, and infinite-dimensional analysis. The major topics are the clarification of general mathematical structures that some models in the SQFT have in common, and the mathematically rigorous analysis of them. The importance and the relevance of the subject are that in physics literature, supersymmetric quantum field models are only formally (heuristically) considered and hence may be ill-defined mathematically. From a mathematical point of view, however, they suggest new aspects related to infinite-dimensional geometry and analysis. Therefore, it is important to show the mathematical existence of such models first and then study them in detail. The book shows that the theory of the abstract Boson–Fermion Fock space serves this purpose. The analysis developed i |
| 出版日期 | Book 2022 |
| 关键词 | Boson-Fermion Fock space; infinite dimensional Dirac operator; infinite dimensional Laplacian; supersym |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-981-19-5678-2 |
| isbn_softcover | 978-981-19-5677-5 |
| isbn_ebook | 978-981-19-5678-2Series ISSN 2197-1757 Series E-ISSN 2197-1765 |
| issn_series | 2197-1757 |
| copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapor |
发表于 2025-3-21 16:12:14
