Weighted power counting and Lorentz violating gauge theories. I: General properties

Details Weighted power counting and Lorentz violating gauge theories. I: General properties Weighted power counting and Lorentz violating gauge theories. I: General properties

2008-08-26

arxiv.org/abs/0808.3470v2

Annals Phys.324:874-896,2009

Physics

High Energy Physics

High Energy Physics - Theory

32 pages, 1 figure; v2: analysis of spurious subdivergences considerably improved, Ann. Phys

Scientific paper

10.1016/j.aop.2008.12.005

We construct local, unitary gauge theories that violate Lorentz symmetry explicitly at high energies and are renormalizable by weighted power counting. They contain higher space derivatives, which improve the behavior of propagators at large momenta, but no higher time derivatives. We show that the regularity of the gauge-field propagator privileges a particular spacetime breaking, the one into into space and time. We then concentrate on the simplest class of models, study four dimensional examples and discuss a number of issues that arise in our approach, such as the low-energy recovery of Lorentz invariance.

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