Twisted gauge theories

被引：66

作者：

Aschieri, Paolo

Dimitrijevic, Marija

Meyer, Frank

Schraml, Stefan

Wess, Julius

机构：

[1] Univ Piemonte Orientale, Dipartimento Sci & Tecnol Avanzate, I-15100 Alessandria, Italy

[2] Ist Nazl Fis Nucl, I-15100 Alessandria, Italy

[3] Univ Belgrade, Fac Phys, Belgrade 11000, Serbia

[4] DESY, Zentrum Math Phys, D-22607 Hamburg, Germany

[5] Univ Hamburg, D-22607 Hamburg, Germany

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

[7] Univ Munich, Arnold Sommerfeld Ctr Theoret Phys, Fak Phys, D-80333 Munich, Germany

来源：

LETTERS IN MATHEMATICAL PHYSICS | 2006年 / 78卷 / 01期

关键词：

deformed spaces; twisted gauge transformations; noncommutative gauge theories;

D O I：

10.1007/s11005-006-0108-0

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Gauge theories on a space-time that is deformed by the Moyal-Weyl product are constructed by twisting the coproduct for gauge transformations. This way a deformed Leibniz rule is obtained, which is used to construct gauge invariant quantities. The connection will be enveloping algebra valued in a particular representation of the Lie algebra. This gives rise to additional fields, which couple only weakly via the deformation parameter theta and reduce in the commutative limit to free fields. Consistent field equations that lead to conservation laws are derived and some properties of such theories are discussed.

引用

页码：61 / 71

页数：11

共 19 条

[1] A gravity theory on noncommultative spaces [J].