TY - JOUR
T1 - Effective matter dispersion relation in quantum covariant Horava-Lifshitz gravity
AU - Alexandre, J.
AU - Brister, J.
PY - 2015/7/15
Y1 - 2015/7/15
N2 - We study how quantum fluctuations of the metric in covariant Horava-Lifshitz gravity influence the propagation of classical fields (complex scalar and photon). The effective Lorentz symmetry violation induced by the breaking of four-dimensional diffeomorphism is then evaluated, by comparing the dressed dispersion relations for both external fields. The constraint of a vanishing three-dimensional Ricci scalar is imposed in the path integral, which therefore explicitly depends on two propagating gravitational degrees of freedom only. Because the matter fields are classical, the present model contains only logarithmic divergences. Furthermore, it imposes the characteristic Horava-Lifshitz scale, to be smaller than 1010GeV, if one wishes not to violate the current bounds on Lorentz symmetry violation.
AB - We study how quantum fluctuations of the metric in covariant Horava-Lifshitz gravity influence the propagation of classical fields (complex scalar and photon). The effective Lorentz symmetry violation induced by the breaking of four-dimensional diffeomorphism is then evaluated, by comparing the dressed dispersion relations for both external fields. The constraint of a vanishing three-dimensional Ricci scalar is imposed in the path integral, which therefore explicitly depends on two propagating gravitational degrees of freedom only. Because the matter fields are classical, the present model contains only logarithmic divergences. Furthermore, it imposes the characteristic Horava-Lifshitz scale, to be smaller than 1010GeV, if one wishes not to violate the current bounds on Lorentz symmetry violation.
UR - http://www.scopus.com/inward/record.url?scp=84939144466&partnerID=8YFLogxK
UR - http://arxiv.org/pdf/1505.01392.pdf
U2 - 10.1103/PhysRevD.92.024025
DO - 10.1103/PhysRevD.92.024025
M3 - Article
AN - SCOPUS:84939144466
SN - 1550-7998
VL - 92
JO - Physical Review D (Particles, Fields, Gravitation and Cosmology)
JF - Physical Review D (Particles, Fields, Gravitation and Cosmology)
IS - 2
M1 - 024025
ER -