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Infinite-Dimensional Dirac Operators and Supersymmetric Quantum Fields: An Introduction to Analysis on Boson–Fermion Fock Spaces: 46 (SpringerBriefs in Mathematical Physics) - Softcover
Inhaltsangabe
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.
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Über die Autorin bzw. den Autor
Professor Asao Arai is a Professor Emeritus of Hokkaido University.
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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.
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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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Springer Nature Singapore, 2022
ISBN 10: 9811956774
ISBN 13: 9789811956775
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Infinite-Dimensional Dirac Operators and Supersymmetric Quantum Fields: An Introduction to Analysis on Boson-Fermion Fock Spaces (SpringerBriefs in Mathematical Physics)
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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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Infinite-Dimensional Dirac Operators and Supersymmetric Quantum Fields : An Introduction to Analysis on Boson-Fermion Fock Spaces
Verlag:
Springer Nature Singapore, Springer Nature Singapore, 2022
ISBN 10: 9811956774
ISBN 13: 9789811956775
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Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Bestandsnummer des Verkäufers 9789811956775
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Infinite-Dimensional Dirac Operators and Supersymmetric Quantum Fields
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Zustand: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Provides an introductory description of the theory of mathematical supersymmetric quantum field theoryClarifies general mathematical structures that some supersymmetric quantum field models have in commonDescribes a theory of infinite dimen. Bestandsnummer des Verkäufers 668479608
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Infinite-Dimensional Dirac Operators and Supersymmetric Quantum Fields
ISBN 10: 9811956774
ISBN 13: 9789811956775
Neu
Taschenbuch
Anbieter: buchversandmimpf2000, Emtmannsberg, BAYE, Deutschland
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Taschenbuch. Zustand: Neu. Neuware -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.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 132 pp. Englisch. Bestandsnummer des Verkäufers 9789811956775
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Infinite-Dimensional Dirac Operators and Supersymmetric Quantum Fields
ISBN 10: 9811956774
ISBN 13: 9789811956775
Neu
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Taschenbuch. Zustand: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 132 pp. Englisch. Bestandsnummer des Verkäufers 9789811956775
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Infinite-Dimensional Dirac Operators and Supersymmetric Quantum Fields: An Introduction to Analysis on Boson-Fermion Fock Spaces (SpringerBriefs in Mathematical Physics)
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Infinite-Dimensional Dirac Operators and Supersymmetric Quantum Fields: An Introduction to Analysis on Boson-Fermion Fock Spaces: 46
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Infinite-Dimensional Dirac Operators and Supersymmetric Quantum Fields: An Introduction to Analysis on Boson-Fermion Fock Spaces: 46
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