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

Abstract

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.

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

References in corpus (3)

• Renormalization of Lorentz violating theories
• One-Loop Renormalization of Pure Yang-Mills with Lorentz Violation
• Large-n expansion for m-axial Lifshitz points

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