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A Lorentzian renormalisation group equation for gauge theories

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arxiv 2303.01479 v4 pith:XDP52SQ2 submitted 2023-03-02 math-ph gr-qchep-thmath.MP

classification math-phgr-qchep-thmath.MP
keywords equationflowactionaverageeffectiveformgaugelorentzian
verification ladder T0 review T1 audit T2 compute T3 formal
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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.

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Cited by 5 Pith papers

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