Gauge field theories with covariant star-product

被引：5

作者：

Chaichian, M. ^{[1
,2
]}

Tureanu, A. ^{[1
,2
]}

Zet, G. ^{[3
]}

机构：

[1] Univ Helsinki, Dept Phys, FIN-00014 Helsinki, Finland

[2] Helsinki Inst Phys, FIN-00014 Helsinki, Finland

[3] Gh Asachi Tech Univ, Dept Phys, Iasi 700050, Romania

来源：

JOURNAL OF HIGH ENERGY PHYSICS | 2009年 / 07期

基金：

芬兰科学院;

关键词：

Non-Commutative Geometry; Gauge Symmetry; STANDARD MODEL; SYMMETRY; QUANTIZATION; ALGEBRA; GRAVITY; TWIST;

D O I：

10.1088/1126-6708/2009/07/084

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

A noncommutative gauge theory is developed using a covariant star-product between differential forms defined on a symplectic manifold, considered as the space-time. It is proven that the field strength two-form is gauge covariant and satisfies a deformed Bianchi identity. The noncommutative Yang-Mills action is defined using a gauge covariant metric on the space-time and its gauge invariance is proven up to the second order in the noncommutativity parameter.

引用

页数：13

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