Mixing internal and spacetime transformations: some examples and counterexamples

Details Mixing internal and spacetime transformations: some examples and counterexamples Mixing internal and spacetime transformations: some examples and counterexamples

2008-03-03

arxiv.org/abs/0803.0303v1

J.Phys.A41:335403,2008

Physics

High Energy Physics

High Energy Physics - Theory

Plain TEX, 6 pages

Scientific paper

10.1088/1751-8113/41/33/335403

This note addresses the question whether in a gauge theory coupled to gravity internal and spacetime transformation can be mixed. It is shown that if the VEV of the gauge field is flat, the symmetry group is always a product of internal and spacetime symmetries. On the other hand, if the VEV of the gauge field is not flat it is impossible to properly define the notion of a ``spacetime'' transformation; as a consequence, if the symmetry group is nontrivial, mixing generically occurs.

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