Effective fermion kinematics from modified quantum gravity

DOI10.1088/0264-9381/33/19/195005zbMATH Open1349.83028arXiv1506.03755OpenAlexW1554056759MaRDI QIDQ2834918

No author found.

Publication date: 1 December 2016

Published in: Classical and Quantum Gravity (Search for Journal in Brave)

Abstract: We consider a classical fermion and a classical scalar, propagating on two different kinds of 4-dimensional diffeomorphism breaking gravity backgrounds, and we derive the one-loop effective dispersion relation for matter, after integrating out gravitons. One gravity model involves quadratic divergences at one-loop, as in Einstein gravity, and the other model is the

z = 3

non-projectable Horava-Lifshitz gravity, which involves logarithmic divergences only. Although these two models behave differently in the UV, the IR phenomenology for matter fields is comparable: {it(i)} for generic values for the parameters, both models identify

1 0^{10}

GeV as the typical characteristic scale above which they are not consistent with current upper bounds on Lorentz symmetry violation; {it(ii)} on the other hand there is always, for both models, a fine-tuning of parameters which allows the cancellation of the indicator for Lorentz symmetry violation.

Full work available at URL: https://arxiv.org/abs/1506.03755

zbMATH Keywords

fermions in curved spacetime Horava-Lifshitz effective fermion kinematics modified quantum gravity

Mathematics Subject Classification ID

Perturbative methods of renormalization applied to problems in quantum field theory (81T15) Quantum field theory on curved space or space-time backgrounds (81T20) Quantization of the gravitational field (83C45) Methods of quantum field theory in general relativity and gravitational theory (83C47) Relativistic gravitational theories other than Einstein's, including asymmetric field theories (83D05)

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