Twisted Gauge Theories

Details Twisted Gauge Theories Twisted Gauge Theories

2006-03-03

arxiv.org/abs/hep-th/0603024v2

Lett.Math.Phys.78:61-71,2006

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, V2: details and appendix added

Scientific paper

10.1007/s11005-006-0108-0

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 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.

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