Benchmarking regulator-sourced 2PI and average 1PI flow equations in zero dimensions
High Energy Physics - Theory
2021-11-01 v2 Statistical Mechanics
Abstract
We elucidate the regulator-sourced 2PI and average 1PI approaches for deriving exact flow equations in the case of a zero dimensional quantum field theory, wherein the scale dependence of the usual renormalisation group evolution is replaced by a simple parametric dependence. We show that both approaches are self-consistent, while highlighting key differences in their behaviour and the structure of the would-be loop expansion.
Cite
@article{arxiv.2107.12914,
title = {Benchmarking regulator-sourced 2PI and average 1PI flow equations in zero dimensions},
author = {Peter Millington and Paul M. Saffin},
journal= {arXiv preprint arXiv:2107.12914},
year = {2021}
}
Comments
revtex format; 22 pages, 2 figures; includes an update to reference [8] and minor corrections in line with published version