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26 April 2024
 
  » arxiv » 1905.3798

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Towards the renormalization group flow of Horava gravity in $(3+1)$ dimensions
Andrei O. Barvinsky ; Mario Herrero-Valea ; Sergey M. Sibiryakov ;
Date 9 May 2019
AbstractWe compute the renormalization group running of the Newton constant and the parameter $lambda$ 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 $eta$-function of $lambda$ 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 $eta$-functions for the rest of the couplings are added.
Source arXiv, 1905.3798
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