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Renormalization of Lorentz violating theories

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arxiv 0707.2480 v2 pith:OKGMYPE6 submitted 2007-07-17 hep-th

Renormalization of Lorentz violating theories

Damiano Anselmi , Milenko Halat This is my paper
classification hep-th
keywords theoriesweightedderivativeshigherlorentzquantumrenormalizationviolating
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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Cited by 2 Pith papers

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    Without Lorentz invariance, double Wick rotations connect inequivalent field theories in flat spacetime, with criteria for when propagating modes, unitarity, and renormalizability fail to translate.

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    Precision timing of PSR J1738+0333 from EPTA and NANOGrav data yields the tightest strong-field constraints on Einstein-aether parameters from any single binary pulsar.