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Advances in lattice hadron physics calculations using the gradient flow

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arxiv 2112.06355 v1 pith:SHHUVMHY submitted 2021-12-12 hep-lat hep-phhep-th

classification hep-lathep-phhep-th
keywords flowgradientlatticecalculationsfindhadronicobservablessignificantly
verification ladder T0 review T1 audit T2 compute T3 formal
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Lattice calculations of hadronic observables are aggravated by short-distance fluctuations. The gradient flow, which can be viewed as a particular realisation of the coarse-graining step of momentum space RG transformations, proves a powerful tool for evolving the lattice gauge field to successively longer length scales for any initial coupling. Already at small flow times we find the signal-to-noise ratio of two- and three-point functions significantly enhanced and the projection onto the ground state largely improved, while the effect on the hadronic observables considered here to be negligible. A further benefit is that far fewer conjugate gradient iterations are needed for the Wilson-Dirac inverter to converge. Additionally, we find the renormalisation constants of quark bilinears to be significantly closer to unity.

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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Renormalization Group Approach to Confinement

    hep-lat 2025-09 unverdicted novelty 6.0 of 10

    Derives α_S(μ) ≃ Λ_S²/μ² from a scale-invariant gluon condensate via gradient flow, reaching an infrared fixed point consistent with confinement.

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