# Lorentzian Wetterich equation for gauge theories

March 02, 2023

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 average effective 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 average
effective action satisfies a Slavnov-Taylor identity in Zinn-Justin form. We
interpret the equation as a cohomological constraint on the functional form of
the average effective action, and we show that it is consistent with the flow.

Keywords:

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