Gradient-flowed thermal correlators: how much flow is too much?

Abstract

Gradient flow has been proposed in the lattice community as a tool to reduce the sensitivity of operator correlation functions to noisy UV fluctuations. We test perturbatively under what conditions doing so may contaminate the results. To do so, we compute gradient-flowed electric field two-point correlators and stress tensor one- and two-point correlators at finite temperature in QCD. Gradient flow has almost no influence on the value of correlators until a (temperature- and separation-dependent) level of flow is reached, after which the correlator is rapidly compromised. We provide a prescription for how much flow is "safe."

arXiv comment15 pages because of 7 figures

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• Quark Mass Dependence of Heavy Quark Diffusion Coefficient from Lattice QCD
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• The sphaleron rate from Euclidean lattice correlators: an exploration
• Thermal Heavy Quark Self-Energy from Euclidean Correlators
• Short flow-time coefficients of CP-violating operators
• Viscosity of pure-glue QCD from the lattice
• Mass-suppressed effects in heavy quark diffusion
• Themodynamics for pure SU($2$) gauge theory using gradient flow
• Spectral and transport properties from lattice QCD
• Lattice $B$-field correlators for heavy quarks
• Temperature Dependence of Heavy Quark Diffusion from (2+1)-flavor Lattice QCD
• Continuum extrapolation of the gradient-flowed color-magnetic correlator at $1.5T_c$
• Lattice QCD noise reduction for bosonic correlators through blocking
• Topological Susceptibility of the 2d O(3) Model under Gradient Flow
• Axial $U(1)$ anomaly in a gravitational field via the gradient flow
• Color-electric correlation functions under gradient flow