Renormalization of Lorentz violating theories

Details Renormalization of Lorentz violating theories Renormalization of Lorentz violating theories

2007-07-17

arxiv.org/abs/0707.2480v2

Phys.Rev.D76:125011,2007

Physics

High Energy Physics

High Energy Physics - Theory

28 pages, 1 figure; v2: more references and applications, PRD version

Scientific paper

10.1103/PhysRevD.76.125011

We classify the unitary, renormalizable, Lorentz violating quantum field theories of interacting scalars and fermions, obtained improving the behavior of Feynman diagrams by means of higher space derivatives. Higher time derivatives are not generated by renormalization. Renormalizability is ensured by a "weighted power counting" criterion. The theories contain a dimensionful parameter, yet a set of models are classically invariant under a weighted scale transformation, which is anomalous at the quantum level. Formulas for the weighted trace anomaly are derived. The renormalization-group properties are studied.

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