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Bücher Englische Bücher Wissen & Bildung Naturwissenschaft, Medizin, Informatik, Technik Physik & Astronomie Theoretische Physik Noncommutative Geometry and Particle Physics
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Noncommutative Geometry and Particle Physics
Walter D. van Suijlekom (Broschiert, Englisch)
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Beschreibung
This book provides an introduction to noncommutative geometry and presents a number of its recent applications to particle physics. In the first part, we introduce the main concepts and techniques by studying finite noncommutative spaces, providing a “light” approach to noncommutative geometry. We then proceed with the general framework by defining and analyzing noncommutative spin manifolds and… deriving some main results on them, such as the local index formula. In the second part, we show how noncommutative spin manifolds naturally give rise to gauge theories, applying this principle to specific examples. We subsequently geometrically derive abelian and non-abelian Yang-Mills gauge theories, and eventually the full Standard Model of particle physics, and conclude by explaining how noncommutative geometry might indicate how to proceed beyond the Standard Model. The second edition of the book contains numerous additional sections and updates. More examples of noncommutative manifolds have been added to the first part to better illustrate the concept of a noncommutative spin manifold and to showcase some of the key results in the field, such as the local index formula. The second part now includes the complete noncommutative geometric description of particle physics models beyond the Standard Model. This addition is particularly significant given the developments and discoveries at the Large Hadron Collider at CERN over the last few years. Additionally, a chapter on the recent progress in formulating noncommutative quantum theory has been included. The book is intended for graduate students in mathematics/theoretical physics who are new to the field of noncommutative geometry, as well as for researchers in mathematics/theoretical physics with an interest in the physical applications of noncommutative geometry. Dieses Produkt haben wir gerade leider nicht auf Lager.
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Technische Daten
Erscheinungsdatum
13.12.2025
Sprache
Englisch
EAN
9783031591228
Herausgeber
Springer International Publishing
Serien- oder Bandtitel
Mathematical Physics Studies
Sonderedition
Nein
Autor
Walter D. van Suijlekom
Seitenanzahl
315
Auflage
2
Einbandart
Broschiert
Schlagwörter
Open Access, Abelian Gauge Theories, Connes' Reconstruction Theorem, Cyclic Cohomology, K-theory of C* Algebras, Local Index Formula, Non-abelian Gauge Theories, Non-commutative Geometry, Non-commutative Manifolds, Unitary and Morita Equivalence of Spectral Triples, Yang–Mills Gauge Theory
Thema-Inhalt
PHU - Mathematische Physik
PBMW - Algebraische Geometrie
PHP - Teilchen- und Hochenergiephysik
Höhe
235 mm
Breite
15.5 cm
Hersteller: Springer, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com, Springer Nature Customer Service Center GmbH
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