Effective fermion kinematics from modified quantum gravity. (8th September 2016)

• Record Type: Journal Article
• Authors: Alexandre, J; Leite, J
• Is Part Of: Classical and quantum gravity. Volume 33:Number 19(2016:Oct.)
• Publication Date: 2016-09-08
• Subjects: modified quantum gravity -- fermions in curved space–time -- Horava–Lifshitz; Quantum gravity -- Periodicals; Gravitation -- Periodicals; Relativity (Physics) -- Periodicals; Space and time -- Periodicals; Periodicals; 521.1
• DOI: 10.1088/0264-9381/33/19/195005
• Languages: English
• ISSNs: 0264-9381

Abstract

Abstract: We consider a classical fermion and a classical scalar, propagating on two different kinds of four-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 ultraviolet, the IR phenomenology for matter fields is comparable: (i) for generic values for the parameters, both models identify 10 10 GeV as the characteristic scale above which they are not consistent with current upper bounds on Lorentz symmetry violation; (ii) for both models, there is always a fine-tuning of parameters which allows the cancellation of the indicator for Lorentz symmetry violation.