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This book provides an introduction to noncommutative geometry and presents a number of its recent applications to particle physics. It 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. 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.

Noncommutative Geometry and Particle Physics (Mathematical Physics Studies) PDF ePub

Noncommutative Geometry and Particle Physics Mathematical ~ Noncommutative Geometry and Particle Physics (Mathematical Physics Studies) / van Suijlekom, Walter D. / ISBN: 9789402401714 / Kostenloser Versand für alle Bücher mit Versand und Verkauf duch .

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Noncommutative Geometry and Particle Physics Mathematical ~ Noncommutative Geometry and Particle Physics (Mathematical Physics Studies) / van Suijlekom, Walter D. / ISBN: 9789401791618 / Kostenloser Versand für alle Bücher mit Versand und Verkauf duch .

Noncommutative Geometry and Particle Physics / Walter van ~ Dr. W.D. van Suijlekom (Assistant Professor/VIDI-Laureate) IMAPP - Mathematics Faculty of Science, Radboud University Nijmegen The Netherlands Expertise: Mathematical physics; noncommutative geometry, gauge field theories and particle physics.

Noncommutative Geometry and Particle Physics / SpringerLink ~ Noncommutative Geometry and Particle Physics. Authors (view affiliations) Walter D. van Suijlekom ; Textbook. 34 Citations; 1 Mentions; 18k Downloads; Part of the Mathematical Physics Studies book series (MPST) Log in to check access. Buy eBook. USD 44.99 Instant download; Readable on all devices; Own it forever; Local sales tax included if applicable; Buy Physical Book Learn about .

Noncommutative Geometry and Particle Physics Mathematical ~ Noncommutative Geometry and Particle Physics (Mathematical Physics Studies) by Walter van Suijlekom (2014-07-22) / Walter van Suijlekom / ISBN: / Kostenloser Versand für alle Bücher mit Versand und Verkauf duch .

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LMS: 257 Intro to Noncomm Diff Geom (London Mathematical ~ This is an introduction to noncommutative geometry, with special emphasis on those cases where the structure algebra, which defines the geometry, is an algebra of matrices over the complex numbers. Applications to elementary particle physics are also discussed. This second edition is thoroughly revised and includes new material on reality conditions and linear connections plus examples from .

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An Introduction to Noncommutative Differential Geometry ~ An Introduction to Noncommutative Differential Geometry and Its Physical Applications. An Introduction to Noncommutative Spaces and Their Geometries

arXiv:1204.6165v1 [hep-th] 27 Apr 2012 ~ a model for noncommutative black holes. The study of quantum field theories in the background of black holes has led to the discovery of interesting features associated with the underlying geometry, such as the Hawking radiation and black hole entropy. In the noncommutative case, the black hole geometry is replaced with the al-

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