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

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arxiv 1802.04562 v1 pith:RMWYH3GZ submitted 2018-02-13 hep-lat hep-th

classification hep-lathep-th
keywords flowcorrelatorsmuchgradientgradient-flowedtwo-pointalmostbeen
verification ladder T0 review T1 audit T2 compute T3 formal

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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."

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Cited by 1 Pith paper

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  1. Computing $1/m_Q$ and $1/m_Q^2$ corrections to the static potential with lattice gauge theory using gradient flow

    hep-lat 2024-11 conditional novelty 6.0 of 10

    Tree-level improvement of flowed Wilson loops reduces lattice and flow-time errors, giving preliminary 1/m_Q and 1/m_Q^2 corrections to the static quark-antiquark potential.

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