General Covariance in Quantum Gravity at a Lifshitz Point

Details General Covariance in Quantum Gravity at a Lifshitz Point General Covariance in Quantum Gravity at a Lifshitz Point

2010-07-14

arxiv.org/abs/1007.2410v2

Phys.Rev.D82:064027,2010

Physics

High Energy Physics

High Energy Physics - Theory

41 pages; v2: small clarifications, references added

Scientific paper

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 $\lambda$ in the kinetic term of the minimal formulation to take its relativistic value, $\lambda=1$. The resulting theory exhibits anisotropic scaling at short distances, and reproduces many features of general relativity at long distances.

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