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arXiv · 1912.08135

On Exact Proper Time Wilsonian RG Flows

A. Bonanno·S. Lippoldt·R. Percacci·G. P. Vacca
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Abstract

We discuss the possibility to define exact RG equations for a UV regulated Wilsonian action based on a proper time (PT) regulator function. We start from a functional mapping which shows how each particular flow equation (and RG scheme) is associated to infinitely many scale dependent field redefinitions, which are related to specific coarse-graining procedures. On specializing to a sub-family of one parameter PT regulators we briefly analyze few results for the Ising Universality class in three dimensions, obtained within a second order truncation in the derivative expansion of the Wilsonian action.

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A. Bonanno, S. Lippoldt, R. Percacci, G. P. Vacca. 2019-12-17. On Exact Proper Time Wilsonian RG Flows. https://doi.org/10.1140/epjc%2Fs10052-020-7798-9

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