Noncommutative Geometry and Particle Physics (Mathematical Physics Studies)
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Noncommutative Geometry and Particle Physics (Mathematical Physics ...
Book Details
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Author: Walter D. van Suijlekom
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Binding: Hardcover
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Number of Pages: 313
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Release Date: 04-09-2024
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ISBN: 9783031591198
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Languages: English
About The Book
The second edition of Noncommutative Geometry and Particle Physics offers an in-depth introduction to noncommutative geometry, with a focus on its recent applications in particle physics. The book is structured in two main parts:
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Foundational Concepts: The first part introduces the core concepts and techniques by studying finite noncommutative spaces. This provides a beginner-friendly, "light" approach to the subject, followed by an exploration of noncommutative spin manifolds and the derivation of key results such as the local index formula.
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Applications to Particle Physics: In the second part, the book shows how noncommutative spin manifolds give rise to gauge theories, including abelian and non-abelian Yang-Mills theories. This section leads up to a comprehensive explanation of the Standard Model of particle physics, and explores how noncommutative geometry may provide insights into theories beyond the Standard Model.
The second edition includes numerous updates:
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More examples of noncommutative manifolds are provided to better illustrate the concept of noncommutative spin manifolds.
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A complete, noncommutative geometric description of particle physics models beyond the Standard Model.
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An addition of a chapter that covers the recent progress in noncommutative quantum theory.
These updates are especially significant in light of the discoveries made at the Large Hadron Collider (CERN) in recent years.
Audience:
This book is ideal for graduate students and researchers in mathematics and theoretical physics, particularly those new to noncommutative geometry or those interested in its physical applications in particle physics.
About the Author
Dr. Walter D. van Suijlekom is an Associate Professor at IMAPP, Faculty of Science, Radboud University Nijmegen, The Netherlands. He specializes in mathematical physics, with a focus on noncommutative geometry, gauge field theories, and particle physics.
