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Field name	Details
Dewey Class	530.15
Title	Infinite-Dimensional Dirac Operators and Supersymmetric Quantum Fields ( EBook) : An Introduction to Analysis on Boson–Fermion Fock Spaces / / by Asao Arai.
Author	Arai, Asao
Other name(s)	SpringerLink (Online service)
Edition statement	1st ed. 2022.
Publication	Singapore : : Springer Nature Singapore : : Imprint: Springer, , 2022.
Physical Details	XIII, 117 p. 1 illus. : online resource.
Series	SpringerBriefs in Mathematical Physics 2197-1765 ; ; 46
ISBN	9789811956782
Summary Note	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.:
Contents note	1. Boson Fock Space and Bose Field -- 2. Fermion Fock Space and Fermi Field -- 3. Boson-Fermion Fock Space and Supersymmetric Quantum Fields -- 4. Applications to Models in Supersymmetric Quantum Field Theory.
Mode of acces to digital resource	Digital reproduction.-
	Cham :
	Springer International Publishing,
	2022. -
	Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in PDF format.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	https://doi.org/10.1007/978-981-19-5678-2
Links to Related Works	Subject References: Functional Analysis . Mathematical Physics . Quantum Physics . Authors: Arai, Asao . author . Corporate Authors: SpringerLink (Online service) . Series: SpringerBriefs in Mathematical Physics . Classification: 530.15 .

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Infinite-Dimensional Dirac Operators and Supersymmetric Quantum Fields: An Introduction to Analysis on Boson–Fermion Fock Spaces /

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