Asao Arai
Infinite-Dimensional Dirac Operators and Supersymmetric Quantum Fields: An Introduction to Analysis on Boson-Fermion Fock Spaces
Infinite-Dimensional Dirac Operators and Supersymmetric Quantum Fields: An Introduction to Analysis on Boson-Fermion Fock Spaces
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Excellent- More about Infinite-Dimensional Dirac Operators and Supersymmetric Quantum Fields: An Introduction to Analysis on Boson-Fermion Fock Spaces
This book provides a mathematical explanation of supersymmetric quantum field theory (SQFT) from the perspectives of functional and infinite-dimensional analysis. It focuses on the mathematical structures shared by certain SQFT models and conducts a rigorous analysis of these structures. The book demonstrates the mathematical existence of supersymmetric quantum field models and highlights their connections to infinite-dimensional geometry and analysis.
Format: Paperback / softback
Length: 117 pages
Publication date: 19 October 2022
Publisher: Springer Verlag, Singapore
This comprehensive book delves into the mathematical foundations of supersymmetric quantum field theory (SQFT) from the perspectives of functional and infinite-dimensional analysis. It serves as a valuable resource for graduate students and researchers seeking to explore the mathematical analysis of quantum fields, particularly supersymmetric ones, and infinite-dimensional analysis. The primary focus of the book is to clarify the common mathematical structures shared by various models within SQFT and to conduct a rigorous mathematical analysis of these structures.
The significance and relevance of this subject lie in the fact that supersymmetric quantum field models are only formally considered in physics literature, often lacking a mathematical foundation. However, from a mathematical perspective, these models offer intriguing insights into infinite-dimensional geometry and analysis. Therefore, it is crucial to establish the mathematical existence of such models before delving into a detailed study.
The book accomplishes this by demonstrating that the theory of the abstract Boson–Fermion Fock space serves as a suitable framework for exploring these mathematical structures. Moreover, the analysis developed within the book provides a remarkable example of infinite-dimensional analysis from the functional analysis point of view, encompassing a theory of infinite-dimensional Dirac operators and Laplacians.
By presenting the mathematical foundations of SQFT in a clear and concise manner, this book offers valuable insights into the complex world of quantum field theory and its applications. It is an essential read for anyone interested in advancing their understanding of this interdisciplinary field.
Weight: 215g
Dimension: 235 x 155 (mm)
ISBN-13: 9789811956775
Edition number: 1st ed. 2022
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