Heavy quark momentum diffusion from the lattice using gradient flow

Abstract

We apply the gradient flow on a color-electric two-point function that encodes the heavy quark momentum diffusion coefficient. The simulations are done on fine isotropic lattices in the quenched approximation at $1.5T_c$. The continuum extrapolation is performed at fixed flow time followed by a second extrapolation to zero flow time. Perturbative calculations of this correlation function under Wilson flow are used to enhance the extrapolations of the non-perturbative lattice correlator. The final estimate for the continuum correlator at zero flow time largely agrees with one obtained from a previous study using the multi-level algorithm. We perform a spectral reconstruction based on perturbative model fits to estimate the heavy quark momentum diffusion coefficient. The approach we present here yields high-precision data for the correlator and is also applicable for actions with dynamical fermions.

arXiv commentPublished version, 14 pages, 15 figures

References in corpus (34)

• The four-loop beta-function in Quantum Chromodynamics
• A New Way to Set the Energy Scale in Lattice Gauge Theories and its Application to the Static Force and ${\alpha }_s$ in SU(2) Yang--Mills Theory
• Properties and uses of the Wilson flow in lattice QCD
• Heavy Quark Diffusion in Strongly Coupled $\mathbb{N}=4$ Yang Mills
• Perturbative analysis of the gradient flow in non-abelian gauge theories
• High-precision scale setting in lattice QCD
• Trivializing maps, the Wilson flow and the HMC algorithm
• Infinite N phase transitions in continuum Wilson loop operators
• Locality and exponential error reduction in numerical lattice gauge theory
• Heavy Quark Momentum Diffusion Coefficient from Lattice QCD
• Chiral symmetry and the Yang--Mills gradient flow
• A novel Bayesian approach to spectral function reconstruction
• A non-perturbative estimate of the heavy quark momentum diffusion coefficient
• Lattice Perturbation Theory
• Asymptotics of thermal spectral functions
• Lattice QCD constraints on the heavy quark diffusion coefficient
• Sparse modeling approach to analytical continuation of imaginary-time quantum Monte Carlo data
• Lattice energy-momentum tensor from the Yang-Mills gradient flow -- inclusion of fermion fields
• Symanzik improvement of the gradient flow in lattice gauge theories
• Equation of State for SU(3) Gauge Theory via the Energy-Momentum Tensor under Gradient Flow
• A way to estimate the heavy quark thermalization rate from the lattice
• Critical point and scale setting in SU(3) plasma: An update
• Energy-momentum tensor from the Yang-Mills gradient flow
• Gradient flow and scale setting on MILC HISQ ensembles
• Exploring Nf=2+1 QCD thermodynamics from the gradient flow
• Nonperturbative beta function of eight-flavor SU(3) gauge theory
• Improving the continuum limit of gradient flow step scaling
• Thermal quarkonium physics in the pseudoscalar channel
• Colour-electric spectral function at next-to-leading order
• Correlations of Energy-Momentum Tensor via Gradient Flow in SU(3) Yang-Mills Theory at Finite Temperature
• Stochastic reconstructions of spectral functions: Application to lattice QCD
• The gradient flow coupling at high-energy and the scale of SU(3) Yang-Mills theory
• Perturbative renormalization of the electric field correlator
• Gradient-flowed thermal correlators: how much flow is too much?

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