A Lorentzian renormalisation group equation for gauge theories
Mathematical Physics
2025-02-10 v4 General Relativity and Quantum Cosmology
High Energy Physics - Theory
math.MP
Abstract
In a recent paper, with Drago and Pinamonti we have introduced a Wetterich-type flow equation for scalar fields on Lorentzian manifolds, using the algebraic approach to perturbative QFT. The equation governs the flow of the effective average action, under changes of a mass parameter k. Here we introduce an analogous flow equation for gauge theories, with the aid of the Batalin-Vilkovisky (BV) formalism. We also show that the corresponding effective average action satisfies a Slavnov-Taylor identity in Zinn-Justin form. We interpret the equation as a cohomological constraint on the functional form of the effective average action, and we show that it is consistent with the flow.
Keywords
Cite
@article{arxiv.2303.01479,
title = {A Lorentzian renormalisation group equation for gauge theories},
author = {Edoardo D'Angelo and Kasia Rejzner},
journal= {arXiv preprint arXiv:2303.01479},
year = {2025}
}