On Exact Proper Time Wilsonian RG Flows
High Energy Physics - Theory
2020-04-22 v2 Statistical Mechanics
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.
Cite
@article{arxiv.1912.08135,
title = {On Exact Proper Time Wilsonian RG Flows},
author = {A. Bonanno and S. Lippoldt and R. Percacci and G. P. Vacca},
journal= {arXiv preprint arXiv:1912.08135},
year = {2020}
}
Comments
18 pages, 1 figure, revtex, few clarifying comments and references added