Determination of Reference Scales for Wilson Gauge Action from Yang--Mills Gradient Flow

Abstract

A parametrization of the lattice spacing ($a$) in terms of the bare coupling ($\beta$) for the SU(3) Yang--Mills theory with the Wilson gauge action is given in a wide range of~$\beta$. The Yang--Mills gradient flow with respect to the flow time~$t$ for the dimensionless observable, $t\frac{d}{dt}{t}^2⟨E(t)⟩$, is utilized to determine the parametrization. With fine lattice spacings ($6.3\le \beta \le 7.5$) and large lattice volumes ($N_{\mathrm{s}}=64$--$128$), the discretization and finite-volume errors are significantly reduced to the same level as the statistical error.

20 pages, 7 figures

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Cited by in corpus (16)

• A non-perturbative estimate of the heavy quark momentum diffusion coefficient
• Gluon Field Digitization for Quantum Computers
• Equation of State for SU(3) Gauge Theory via the Energy-Momentum Tensor under Gradient Flow
• Critical point and scale setting in SU(3) plasma: An update
• Wilson flow and scale setting from lattice QCD
• Topological susceptibility at $T>T_{\mathrm{c}}$ from master-field simulations of the SU(3) gauge theory
• Latent heat at the first order phase transition point of SU(3) gauge theory
• Non-perturbative determination of the $\Lambda$-parameter in the pure SU(3) gauge theory from the twisted gradient flow coupling
• Lattice determinations of the strong coupling
• Background field method in the gradient flow
• Using Wilson flow to study the SU(3) deconfinement transition
• Scaling properties of multiscale equilibration
• Numerical study of tree-level improved lattice gradient flows in pure Yang-Mills theory
• Wilson flow with naive staggered quarks
• Thermodynamics and reference scale of SU(3) gauge theory from gradient flow on fine lattices
• Memory efficient finite volume schemes with twisted boundary conditions