Spectral dimension of Horava-Snyder spacetime and the AdS2 × S2 momentum space
Departamento de Física, Universidade Federal de Campina Grande - Caixa Postal 10071, 58109-970 Campina Grande, Paraíba, Brazil
Received: 6 June 2012
Accepted: 24 August 2012
We show that the UV regime at the Lifshitz point z = 3 is equivalent to working with a momenta manifold whose topology is the same as that of an AdS2 × S2 space. According to Snyder's theory, curved momentum space is related to non-commutative quantized spacetime. In this sense, our analysis suggests an equivalence between Horava-Lifshitz theory and Snyder's theory.
PACS: 04.60.Nc – Lattice and discrete methods / 11.30.Cp – Lorentz and Poincaré invariance
© EPLA, 2012