1210.7535 (Takayuki Hirayama)

Power counting renormalizability of scalar theory in Lifshitz spacetime    [PDF]

Takayuki Hirayama

We analyse the power counting renormalizability of scalar theory in Lifshitz spacetime in D+2 dimensions. We show the spectral dimension becomes 2+(D/z) (z is the critical exponent) after integrating out the radion field. We comment on the AdS/CFT correspondence, and on how to avoid the Lifshitz singularity by flowing into AdS spacetime in the infrared. We also comment on the quantum gravity in Lifshitz spacetime.

View original: http://arxiv.org/abs/1210.7535