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arxiv: 1004.2171 · v1 · pith:UGWJJFHAnew · submitted 2010-04-13 · ✦ hep-th · gr-qc

Polyakov Effective Action from Functional Renormalization Group Equation

classification ✦ hep-th gr-qc
keywords actioneffectiveequationflowpolyakovaverageconsideringcoupled
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We discuss the Polyakov effective action for a minimally coupled scalar field on a two dimensional curved space by considering a non-local covariant truncation of the effective average action. We derive the flow equation for the form factor in $\int\sqrt{g}R c_{k}(\Delta)R$, and we show how the standard result is obtained when we integrate the flow from the ultraviolet to the infrared.

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