Spectral dimension of Horava-Snyder spacetime and the $AdS_2\times S^2$ momentum space

Details Spectral dimension of Horava-Snyder spacetime and the $AdS_2\times S^2$ momentum space Spectral dimension of Horava-Snyder spacetime and the $AdS_2\times S^2$ momentum space

2010-09-24

arxiv.org/abs/1009.4915v1

Physics

High Energy Physics

High Energy Physics - Theory

6 pages, revtex, 2 figures

Scientific paper

We show there is an equivalence between the loop momenta corrections in Horava-Lifshitz theory and Snyder non-comutative quantized spacetime. The radiative corrections in both theories can be put in the same foot when we consider that the volume of momenta integral is given in general in terms of the curved momenta space. We show that the UV-regime at the Lisfhitz point $z=3$ is equivalent to work with a momenta manifold whose topology is the same as that of an $AdS_2\times S^2$ space. As a consequence, one can think of the Horava loop momenta is the same as the usual loop with a modified vertex that depends on the volume element of the curved momentum space.

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