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.

arXiv comment10 pages, 1 figure

References in corpus (4)

• Quantum Gravity at a Lifshitz Point
• Gravity Duals of Lifshitz-like Fixed Points
• 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