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Gauge Symmetry and Dynamics in Anisotropic Gravity
(
10/12/2011
)
49
minutes
Host:
UC Davis Department of Mathematics
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description:
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 related possible instabilities. The resulting theory exhibits anisotropic scaling at short distances, and reproduces many features of general relativity at long distances.
files/resources:
thompson.pdf
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host links:
UC Davis Department of Mathematics