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arxiv: 1210.7535 · v1 · submitted 2012-10-25 · ✦ hep-th

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Power counting renormalizability of scalar theory in Lifshitz spacetime

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classification ✦ hep-th
keywords lifshitzspacetimecommentcountingpowerrenormalizabilityscalartheory
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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.

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