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Titlebook: Infinite-Dimensional Dirac Operators and Supersymmetric Quantum Fields; An Introduction to A Asao Arai Book 2022 The Editor(s) (if applicab

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發(fā)表于 2025-3-21 16:12:14 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱Infinite-Dimensional Dirac Operators and Supersymmetric Quantum Fields
副標(biāo)題An Introduction to A
編輯Asao Arai
視頻videohttp://file.papertrans.cn/465/464645/464645.mp4
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
叢書名稱SpringerBriefs in Mathematical Physics
圖書封面Titlebook: Infinite-Dimensional Dirac Operators and Supersymmetric Quantum Fields; An Introduction to A Asao Arai Book 2022 The Editor(s) (if applicab
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
關(guān)鍵詞Boson-Fermion Fock space; infinite dimensional Dirac operator; infinite dimensional Laplacian; supersym
版次1
doihttps://doi.org/10.1007/978-981-19-5678-2
isbn_softcover978-981-19-5677-5
isbn_ebook978-981-19-5678-2Series ISSN 2197-1757 Series E-ISSN 2197-1765
issn_series 2197-1757
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapor
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Elements of the Theory of Fock Spaces,We review the theory of Fock spaces within the scope of the following chapters (for more details, see [22]).
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發(fā)表于 2025-3-22 03:08:21 | 只看該作者
-space Representation of Boson Fock Space,We review the so-called .-space representation (a probability theoretical representation) of the boson Fock space over a Hilbert space. This representation is useful in analyzing quantum field models (e.g., [20, 34, 38, 61, 62]) and has important relations to infinite-dimensional stochastic analysis (e.g., [38, 51]).
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978-981-19-5677-5The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapor
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