Gauge theories in noncommutative geometry

被引：5
作者：
Masson, Thierry [1 ]
机构：
[1] Univ Sud Toulon Var, Aix Marseille Univ, Ctr Phys Theor, CNRS,UMR 6207, F-13288 Marseille 9, France
来源：
FRONTIERS OF FUNDAMENTAL PHYSICS | 2012年 / 1446卷
关键词：
noncommutative geometry; gauge field theories; DIFFERENTIAL GEOMETRY; STANDARD MODEL; DERIVATIONS; CONNECTIONS; GRAVITY; FIELDS;
D O I：
10.1063/1.4727990
中图分类号：
O59 [应用物理学];
学科分类号：
摘要：
In this review we present some of the fundamental mathematical structures which permit to define noncommutative gauge field theories. In particular, we emphasize the theory of noncommutative connections, with the notions of curvatures and gauge transformations. Two different approaches to noncommutative geometry are covered: the one based on derivations and the one based on spectral triples. Examples of noncommutative gauge field theories are given to illustrate the constructions and to display some of the common features.
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页码：73 / 98
页数：26
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