Power counting renormalizability of scalar theory in Lifshitz spacetime

Takayuki Hirayama

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Power counting renormalizability of scalar theory in Lifshitz spacetime

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arxiv 1210.7535 v1 pith:PK6D4QUL submitted 2012-10-25 hep-th

Power counting renormalizability of scalar theory in Lifshitz spacetime

Takayuki Hirayama This is my paper

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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.

Power counting renormalizability of scalar theory in Lifshitz spacetime

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