Construction of non-Abelian gauge theories on noncommutative spaces

被引：299

作者：

Jurco, B

Möller, L

Schraml, S

Schupp, P

Wess, J

机构：

[1] Univ Munich, Sekt Phys, D-80333 Munich, Germany

[2] Max Planck Inst Phys & Astrophys, D-80805 Munich, Germany

[3] Humboldt Univ, Inst Phys, D-10115 Berlin, Germany

来源：

EUROPEAN PHYSICAL JOURNAL C | 2001年 / 21卷 / 02期

关键词：

Gauge Theory; Fundamental Representation; Explicit Construction; Star Product; Gauge Potential;

D O I：

10.1007/s100520100731

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：

We present a formalism to explicitly construct non-Abelian gauge theories on noncommutative spaces (induced via a star product with a constant Poisson tensor) from a consistency relation. This results in an expansion of the gauge parameter, the noncommutative gauge potential and fields in the fundamental representation, in powers of a parameter of the noncommutativity. This allows the explicit construction of actions for these gauge theories.

引用

页码：383 / 388

页数：6

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