Deformed Gauge Theories

Details Deformed Gauge Theories Deformed Gauge Theories

2006-08-18

arxiv.org/abs/hep-th/0608135v1

J.Phys.Conf.Ser.53:752-763,2006

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, Lecture given at Workshop "Noncommutative Geomerty in Field and String Theories", Corfu 2005

Scientific paper

10.1088/1742-6596/53/1/049

Gauge theories are studied on a space of functions with the Moyal-Weyl product. The development of these ideas follows the differential geometry of the usual gauge theories, but several changes are forced upon us. The Leibniz rule has to be changed such that the theory is now based on a twisted Hopf algebra. Nevertheless, this twisted symmetry structure leads to conservation laws. The symmetry has to be extended from Lie algebra valued to enveloping algebra valued and new vector potentials have to be introduced. As usual, field equations are subjected to consistency conditions that restrict the possible models. Some examples are studied.

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