Nima Moshayedi
Kontsevich's Deformation Quantization and Quantum Field Theory
Kontsevich's Deformation Quantization and Quantum Field Theory
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Excellent- More about Kontsevich's Deformation Quantization and Quantum Field Theory
Deformation quantization is a method that connects quantum field theory to classical algebra, allowing for the study of new field theories and insights into other areas of mathematics. This book provides an introduction to the subject, suitable for graduate students in mathematics or theoretical physics.
Format: Paperback / softback
Length: 336 pages
Publication date: 13 August 2022
Publisher: Springer International Publishing AG
This comprehensive book delves into the realm of deformation quantization, offering a thorough introduction to this fascinating subject and its close connection to quantum field theory. The book begins by exploring the origins of deformation quantization, which emerged as a means to comprehend the mathematical intricacies involved in transitioning from a commutative classical algebra of observables to a non-commutative quantum algebra of observables. Through the development of deformation quantization as a semi-classical limit of the expectation value for a specific observable with respect to a particular sigma model, the book meticulously elucidates the interplay between the involved algebraic and field-theoretic methodologies. This connection to quantum field theory opens up a wealth of opportunities for studying essential new field theories and gaining profound insights into various branches of mathematics, including symplectic and Poisson geometry, as well as integrable systems.
The book is structured based on lectures delivered by the author at the University of Zurich, making it an invaluable resource for advanced graduate students in mathematics and theoretical physics. While a basic foundation in Analysis, Linear Algebra, and Topology is assumed, readers can delve into the content of the first chapter after completing these prerequisite courses. Extensive references are provided for those seeking to explore more advanced prerequisites.
In summary, this book serves as a comprehensive guide to deformation quantization, providing a deep understanding of its theoretical foundations and applications. It is an essential read for scholars and researchers seeking to explore the frontiers of mathematics and physics.
Weight: 539g
Dimension: 235 x 155 (mm)
ISBN-13: 9783031051210
Edition number: 1st ed. 2022
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