Polyakov Effective Action from Functional Renormalization Group Equation
arXiv:1004.2171 · doi:10.1016/j.aop.2010.04.013
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 $\int\sqrt{g}R c_{k}(Î)R$, and we show how the standard result is obtained when we integrate the flow from the ultraviolet to the infrared.
19 pages, 5 figures