Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Renormalization group flow of Ho\v{r}ava-Lifshitz gravity at low
  energies   The functional renormalization group equation for projectable
Ho\v{r}ava-Lifshitz gravity is used to derive the non-perturbative beta
functions for the Newton's constant, cosmological constant and anisotropy
parameter. The resulting coupled differential equations are studied in detail
and exemplary RG trajectories are constructed numerically. The beta functions
possess a non-Gaussian fixed point and a one-parameter family of Gaussian fixed
points. One of the Gaussian fixed points corresponds to the Einstein-Hilbert
action with vanishing cosmological constant and constitutes a saddle point with
one IR-attractive direction. For RG trajectories dragged into this fixed point
at low energies diffeomorphism invariance is restored. The emergence of general
relativity from Ho\v{r}ava-Lifshitz gravity can thus be understood as a
crossover-phenomenon where the IR behavior of the theory is controlled by this
Gaussian fixed point. In particular RG trajectories with a tiny positive
cosmological constant also come with an anisotropy parameter which is
compatible with experimental constraints, providing a mechanism for the
approximate restoration of diffeomorphism invariance in the IR. The
non-Gaussian fixed point is UV-attractive in all three coupling constants. Most
likely, this fixed point is the imprint of Asymptotic Safety at the level of
Ho\v{r}ava-Lifshitz gravity.

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The categories of this paper are: supr-con
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The categories of this paper are: hep-lat
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: acc-phys
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The categories of this paper are: q-bio
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The categories of this paper are: alg-geom
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The categories of this paper are: chem-ph
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The categories of this paper are: nlin
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The categories of this paper are: nucl-th
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The categories of this paper are: astro-ph
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The categories of this paper are: funct-an
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The categories of this paper are: hep-ex
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The categories of this paper are: nucl-ex
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The categories of this paper are: chao-dyn