國立高雄大學圖資館 |

Language: English

Back

Noncommutative geometry and particle...

SpringerLink (Online service)

Noncommutative geometry and particle physics

Record Type:	Electronic resources : Monograph/item
Title/Author:	Noncommutative geometry and particle physicsby Walter D. van Suijlekom.
Author:	Suijlekom, Walter D. van.
Published:	Dordrecht :Springer Netherlands :2015.
Description:	xvi, 237 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Mathematical physics.
Online resource:	http://dx.doi.org/10.1007/978-94-017-9162-5
ISBN:	9789401791625 (electronic bk.)

Noncommutative geometry and particle physics
Suijlekom, Walter D. van.

Noncommutative geometry and particle physics[electronic resource] /by Walter D. van Suijlekom. - Dordrecht :Springer Netherlands :2015. - xvi, 237 p. :ill. (some col.), digital ;24 cm. - Mathematical physics studies,0921-3767. - Mathematical physics studies..

Preface -- Introduction -- Part 1. Noncommutative geometric spaces -- Finite noncommutative spaces -- Finite real noncommutative spaces -- Noncommutative Riemannian spin manifolds -- The local index formula in noncommutative geometry -- Part 2. Noncommutative geometry and gauge theories -- Gauge theories from noncommutative manifolds -- Spectral invariants -- Almost-commutative manifolds and gauge theories -- The noncommutative geometry of electrodynamics -- The noncommutative geometry of Yang-Mills fields -- The noncommutative geometry of the Standard Model -- Phenomenology of the noncommutative Standard Model -- Bibliography.

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.

ISBN: 9789401791625 (electronic bk.)

Standard No.: 10.1007/978-94-017-9162-5doiSubjects--Topical Terms:

190854
Mathematical physics.

LC Class. No.: QC20

Dewey Class. No.: 530.15

Noncommutative geometry and particle physics
LDR:02765nmm a2200325 a 4500 001 459568
003 DE-He213
005 20150515092829.0
006 m d
007 cr nn 008maaau
008 151110s2015 ne s 0 eng d
020 $a 9789401791625 (electronic bk.)
020 $a 9789401791618 (paper)
024 7 $a 10.1007/978-94-017-9162-5 $2 doi
035 $a 978-94-017-9162-5
040 $a GP $c GP
041 0 $a eng
050 4 $a QC20
072 7 $a PHU $2 bicssc
072 7 $a SCI040000 $2 bisacsh
082 0 4 $a 530.15 $2 23
090 $a QC20 $b .S948 2015
100 1 $a Suijlekom, Walter D. van. $3 710418
245 1 0 $a Noncommutative geometry and particle physics $h [electronic resource] / $c by Walter D. van Suijlekom.
260 $a Dordrecht : $b Springer Netherlands : $b Imprint: Springer, $c 2015.
300 $a xvi, 237 p. : $b ill. (some col.), digital ; $c 24 cm.
490 1 $a Mathematical physics studies, $x 0921-3767
505 0 $a Preface -- Introduction -- Part 1. Noncommutative geometric spaces -- Finite noncommutative spaces -- Finite real noncommutative spaces -- Noncommutative Riemannian spin manifolds -- The local index formula in noncommutative geometry -- Part 2. Noncommutative geometry and gauge theories -- Gauge theories from noncommutative manifolds -- Spectral invariants -- Almost-commutative manifolds and gauge theories -- The noncommutative geometry of electrodynamics -- The noncommutative geometry of Yang-Mills fields -- The noncommutative geometry of the Standard Model -- Phenomenology of the noncommutative Standard Model -- Bibliography.
520 $a 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.
650 0 $a Mathematical physics. $3 190854
650 0 $a Noncommutative differential geometry. $3 266983
650 0 $a Particles (Nuclear physics) $x Mathematical models. $3 466997
650 1 4 $a Physics. $3 179414
650 2 4 $a Mathematical Methods in Physics. $3 273796
650 2 4 $a Mathematical Physics. $3 522725
650 2 4 $a Elementary Particles, Quantum Field Theory. $3 274994
650 2 4 $a Algebraic Geometry. $3 274807
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer eBooks
830 0 $a Mathematical physics studies. $3 684220
856 4 0 $u http://dx.doi.org/10.1007/978-94-017-9162-5
950 $a Physics and Astronomy (Springer-11651)