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Gradient flow exact renormalization group

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arxiv 2012.03568 v3 pith:FGQDRIGN submitted 2020-12-07 hep-th hep-lat

Gradient flow exact renormalization group

classification hep-th hep-lat
keywords flowtheorygradientgrouprenormalizationconnectionexactgauge
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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The gradient flow bears a close resemblance to the coarse graining, the guiding principle of the renormalization group (RG). In the case of scalar field theory, a precise connection has been made between the gradient flow and the RG flow of the Wilson action in the exact renormalization group (ERG) formalism. By imitating the structure of this connection, we propose an ERG differential equation that preserves manifest gauge invariance in Yang--Mills theory. Our construction in continuum theory can be extended to lattice gauge theory.

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    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...