Weighted power counting and Lorentz violating gauge theories. II: Classification

Details Weighted power counting and Lorentz violating gauge theories. II: Classification Weighted power counting and Lorentz violating gauge theories. II: Classification

2008-08-26

arxiv.org/abs/0808.3474v2

Annals Phys.324:1058-1077,2009

Physics

High Energy Physics

High Energy Physics - Theory

27 pages; analysis of spurious subdivergences considerably improved, Ann. Phys

Scientific paper

10.1016/j.aop.2008.12.007

We classify the local, polynomial, unitary gauge theories that violate Lorentz symmetry explicitly at high energies and are renormalizable by weighted power counting. We study the structure of such theories and prove that renormalization does not generate higher time derivatives. We work out the conditions to renormalize vertices that are usually non-renormalizable, such as the two scalar-two fermion interactions and the four fermion interactions. A number of four dimensional examples are presented.

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