Alternative flow equation for the functional renormalization group
Abstract
We derive an alternative to the Wetterich-Morris-Ellwanger equation by means of the two-particle irreducible (2PI) effective action, exploiting the method of external sources due to Garbrecht and Millington. The latter allows the two-point source of the 2PI effective action to be associated consistently with the regulator of the renormalization group flow. We show that this procedure leads to a flow equation that differs from that obtained in the standard approach based on the average one-particle irreducible effective action.
Keywords
Cite
@article{arxiv.1907.06503,
title = {Alternative flow equation for the functional renormalization group},
author = {Elizabeth Alexander and Peter Millington and Jordan Nursey and Paul M. Saffin},
journal= {arXiv preprint arXiv:1907.06503},
year = {2021}
}
Comments
6 pages, revtex format; amended to incorporate corrections from an erratum (submitted to PRD) that relate to the incorrect functional identity original reported for the inverse two-point function; conclusions otherwise unchanged