Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2004-03-08
Nucl.Phys. B705 (2005) 593-604
Physics
High Energy Physics
High Energy Physics - Theory
12 pages
Scientific paper
10.1016/j.nuclphysb.2004.10.054
We examine the renormalization group flow in the vicinity of the free-field fixed point for effective field theories in the presence of a constant, nondynamical vector potential background. The interaction with this vector potential represents the simplest possible form of Lorentz violation. We search for any normal modes of the flow involving nonpolynomial interactions. For scalar fields, the inclusion of the vector potential modifies the known modes only through a change in the field strength renormalization. For fermionic theories, where an infinite number of particle species are required in order for nonpolynomial interactions to be possible, we find no evidence for any analogous relevant modes. These results are consistent with the idea that the vector potential interaction, which may be eliminated from the action by a gauge transformation, should have no physical effects.
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