Polyakov Effective Action from Functional Renormalization Group Equation

Abstract

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.

19 pages, 5 figures

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