English

Mixing internal and spacetime transformations: some examples and counterexamples

High Energy Physics - Theory 2008-11-26 v1

Abstract

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.

Keywords

Cite

@article{arxiv.0803.0303,
  title  = {Mixing internal and spacetime transformations: some examples and counterexamples},
  author = {R. Percacci},
  journal= {arXiv preprint arXiv:0803.0303},
  year   = {2008}
}

Comments

Plain TEX, 6 pages

R2 v1 2026-06-21T10:17:54.669Z