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Gauge invariant flow equation

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arxiv 1607.02989 v3 pith:F7VOZA5X submitted 2016-07-11 hep-th gr-qc

Gauge invariant flow equation

classification hep-th gr-qc
keywords equationflowgaugeclosedfieldfunctionalmacroscopicaction
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We propose a closed gauge-invariant functional flow equation for Yang-Mills theories and quantum gravity that only involves one macroscopic gauge field or metric. It is based on a projection on physical and gauge fluctuations. Deriving this equation from a functional integral we employ the freedom in the precise choice of the macroscopic field and the effective average action in order to realize a closed and simple form of the flow equation.

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  1. Towards gauge independence in asymptotically safe quantum gravity

    hep-th 2026-07 conditional novelty 6.0

    In an essential proper-time scheme, gauge dependence of the flow for Newton's constant cancels order-by-order once redundant off-shell terms are absorbed by field redefinitions, leaving a gauge-independent non-Gaussia...