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Covariant computation of effective actions in Horava-Lifshitz gravity · Around

2015

Covariant computation of effective actions in Horava-Lifshitz gravity

D'Odorico, Giulio, Goossens, Jan-Willem, Saueressig, Frank

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We initiate the systematic computation of the heat-kernel coefficients for Laplacian operators obeying anisotropic dispersion relations in curved spacetime.

Our results correctly reproduce the limit where isotropy is restored and special anisotropic cases considered previously in the literature.
Subsequently, the heat kernel is used to derive the scalar-induced one-loop effective action and beta functions of Horava-Lifshitz gravity.
We identify the Gaussian fixed point which is supposed to provide the UV completion of the theory.

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