Infinite Dimensional Dirac Operators and Supersymmetric Quantum Fields is popular PDF and ePub book, written by Asao Arai in 2022-10-18, it is a fantastic choice for those who relish reading online the Science genre. Let's immerse ourselves in this engaging Science book by exploring the summary and details provided below. Remember, Infinite Dimensional Dirac Operators and Supersymmetric Quantum Fields can be Read Online from any device for your convenience.
Infinite Dimensional Dirac Operators and Supersymmetric Quantum Fields Book PDF Summary
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 in the book also provides a good example of infinite-dimensional analysis from the functional analysis point of view, including a theory of infinite-dimensional Dirac operators and Laplacians.
Detail Book of Infinite Dimensional Dirac Operators and Supersymmetric Quantum Fields PDF
- Author : Asao Arai
- Release : 18 October 2022
- Publisher : Springer Nature
- ISBN : 9789811956782
- Genre : Science
- Total Page : 123 pages
- Language : English
- PDF File Size : 10,8 Mb
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