Noncommutative Geometry and Particle Physics (Mathematical Physics Studies) - Tapa blanda

Van Suijlekom, Walter D.

 
9789402401714: Noncommutative Geometry and Particle Physics (Mathematical Physics Studies)
Tapa blanda
ISBN 10: 9402401717 ISBN 13: 9789402401714
Editorial: Springer, 2016

Sinopsis

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.

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Acerca del autor

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.

De la contraportada

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 StandardModel of particle physics, and conclude by explaining how noncommutative geometry might indicate how to proceed beyond the Standard Model.         

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
Springer
Año de publicación
2016
Idioma
Inglés
ISBN 10 
9402401717
ISBN 13 
9789402401714
Encuadernación
Tapa blanda
Número de páginas
256
Contacto del fabricante
no disponible
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Otras ediciones populares con el mismo título

9789401791618: Noncommutative Geometry and Particle Physics (Mathematical Physics Studies)

Edición Destacada

ISBN 10:  9401791619 ISBN 13:  9789401791618
Editorial: Springer, 2014
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