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

Journal Article · Wed Apr 15 00:00:00 EDT 2009 · Annals of Physics (New York)

DOI:https://doi.org/10.1016/j.aop.2008.12.005· OSTI ID:21167731

Anselmi, Damiano ^[1]

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1. Dipartimento di Fisica 'Enrico Fermi', Universita di Pisa, Largo Pontecorvo 3, I-56127 Pisa (Italy)

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 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.

• OSTI ID: 21167731
• Journal Information: Annals of Physics (New York), Vol. 324, Issue 4; Other Information: DOI: 10.1016/j.aop.2008.12.005; PII: S0003-4916(08)00176-0; Copyright (c) 2008 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved; Country of input: International Atomic Energy Agency (IAEA); ISSN 0003-4916
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ENERGY RECOVERY
FOUR-DIMENSIONAL CALCULATIONS
GAUGE INVARIANCE
LORENTZ INVARIANCE
PROPAGATOR
RENORMALIZATION
SPACE-TIME
SYMMETRY