Benchmarking regulator-sourced 2PI and average 1PI flow equations in zero dimensions

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.

revtex format; 22 pages, 2 figures; includes an update to reference [8] and minor corrections in line with published version

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