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arXiv · 1905.03798

Towards the renormalization group flow of Horava gravity in $(3+1)$ dimensions

Andrei O. Barvinsky·Mario Herrero-Valea·Sergey M. Sibiryakov
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Abstract

We compute the renormalization group running of the Newton constant and the parameter $λ$ in $(3+1)$-dimensional projectable Horava gravity. We use the background field method expanding around configurations with flat spatial metric, but non-vanishing shift. This allows us to reduce the number of interaction vertices and thereby drastically simplify the calculations. The gauge invariant $β$-function of $λ$ has two families of zeros, attractive in the infrared and ultraviolet respectively. They are candidates for the fixed points of the full renormalization group flow of the theory, once the $β$-functions for the rest of the couplings are added.

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Andrei O. Barvinsky, Mario Herrero-Valea, Sergey M. Sibiryakov. 2019-05-09. Towards the renormalization group flow of Horava gravity in $(3+1)$ dimensions. https://doi.org/10.1103/physrevd.100.026012

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