Relativistic Quantum Gravity at a Lifshitz Point

By C. Germani, A. Kehagias, K. Sfetsos. 2009

133 citations recorded by the source corpus.

We show that the Hořava 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.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/2ce0ba3f7c28fb54aef22bc5ebcd000c62fd5512

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Citations in the corpus

Tests of Lorentz invariance: a 2013 update (2013, background): “For example, a possible extension of HL gravity to a theory invariant under the full group of four-dimensional diffeomorphisms have been proposed [224].”
Hořava–Lifshitz dark energy (2009, background): “nent, spatial coordinates and temporal coordinate, respectively. Due to the these novel features, there has been a large amount of eﬀort in examining and extending the properties of the theory itself [5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, ”
Hořava gravity at a Lifshitz point: A progress report (2017, methodology): “To restore the full general covariance, one way is to make the foliation dynamical by using the Stückelberg trick [194], in which the space-like hypersurfaces of t = constant in the (3+1) ADM decompositions are replaced by a scalar field φ = constant, which is always time-like [88, 195],”
Modified Gravity and Cosmology (2011, methodology): “We can now express HL gravity as a relativistic theory involving the space-time metric, gμν , and the Stuckelberg field [167, 692, 532].”
Hořava-Lifshitz gravity from dynamical Newton-Cartan geometry (2015, background): “The khronon field introduced by [32] (to make HL gravity generally covariant whereby making manifest the presence of an extra scalar mode) naturally appears (see also [33]) in our formulation.”
General covariance in quantum gravity at a Lifshitz point (2010, methodology): “It has been applied to the models of gravity with anisotropic scaling [1,2] in [7,12,13].”
Black holes in Einstein-aether and Hořava-Lifshitz gravity (2011, unknown): “[14]) and then fully demonstrated in Ref.”
Renormalization group in Lifshitz-type theories (2009, background): “Once this is performed, we will focus our attention on a particularly relevant “weighted relevant” operator, c(2)φ( ~ ∂φ)2, and study the RG evolution of the “speed of light” parameter cφ for φ (physically, cφ represents the maximal speed (1)See also [7, 8] for a (partial) list of further works that”