General covariance in quantum gravity at a Lifshitz point
By Petr Hořava, C. Melby-Thompson. 2010
235 citations recorded by the source corpus.
In the minimal formulation of gravity with Lifshitz-type anisotropic scaling, the gauge symmetries of the system are foliation-preserving diffeomorphisms of spacetime. Consequently, compared to general relativity, the spectrum contains an extra scalar graviton polarization. Here we investigate the possibility of extending the gauge group by a local $U(1)$ symmetry to ``nonrelativistic general covariance.'' This extended gauge symmetry eliminates the scalar graviton, and forces the coupling constant $\ensuremath{\lambda}$ in the kinetic term of the minimal formulation to take its relativistic value, $\ensuremath{\lambda}=1$. The resulting theory exhibits anisotropic scaling at short distances, and reproduces many features of general relativity at long distances.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/b46b233b7130ec5a0e85a8d647d6357fe2139d6d
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Astronomy and Astrophysics
In Nuclear and High Energy Physics
In Statistical and Nonlinear Physics
Citations in the corpus
- Modified Gravity and Cosmology (2011, background): “With this in mind, Hořava and Melby-Thompson (HMT) proposed a modified version of the projectable theory possessing an additional U(1) symmetry [621].”
- Hořava gravity at a Lifshitz point: A progress report (2017, background): “It is interesting to note that this is exactly the case first considered in HMT [93].”
- Models of non-relativistic quantum gravity: the good, the bad and the healthy (2010, background): “For another proposal to eliminate the helicity-0 mode see [ 11 ].”
- Gauging the Carroll algebra and ultra-relativistic gravity (2015, methodology): “In the context to Hořava-Lifshitz gravity this field was introduced in [29] and dubbed the Newtonian prepotential.”
- A consistent theory of D → 4 Einstein-Gauss-Bonnet gravity (2020, background): “[28] P.”
- Hořava-Lifshitz gravity from dynamical Newton-Cartan geometry (2015, methodology): “By fully employing the local Schrödinger algebra we arrive at the conformally invariant z = d action [1, 34]”