Power counting renormalizability of scalar theory in Lifshitz spacetime

Abstract

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.

10 pages, 1 figure

References in corpus (3)

• Quantum Gravity at a Lifshitz Point
• Spectral Dimension of the Universe in Quantum Gravity at a Lifshitz Point
• Non-relativistic holography

Cited by in corpus (1)

• Lorentz breaking terms from Einstein gravity