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Article Dans Une Revue Journal of High Energy Physics Année : 2009

Relativistic quantum gravity at a Lifshitz point

Résumé

We show that the Horava theory for the completion of General Relativity at UV scales can be interpreted as a gauge fixed Tensor-Vector theory, and it can be extended to an invariant theory under the full group of four-dimensional diffeomorphisms. In this respect, although being fully relativistic, it results to be locally anisotropic in the time-like and space-like directions defined by a family of irrotational observers. We show that this theory propagates generically three degrees of freedom: two of them are related to the four-dimensional diffeomorphism invariant graviton (the metric) and one is related to a propagating scalar mode of the vector. Finally, we note that in the present formulation, matter can be consistently coupled to gravity.

Dates et versions

hal-03785523 , version 1 (23-09-2022)

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Cristiano Germani, Alex Kehagias, Konstadinos Sfetsos. Relativistic quantum gravity at a Lifshitz point. Journal of High Energy Physics, 2009, 09, pp.060. ⟨10.1088/1126-6708/2009/09/060⟩. ⟨hal-03785523⟩
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