Asymptotic scaling and continuum limit of pure SU(3) lattice gauge theory

Abstract

Recently the Yang-Mills gradient flow of pure SU(3) lattice gauge theory has been calculated in the range from $\beta =6/g_0^2=6.3$ to~7.5 (Asakawa et al.), where $g_0^2$ is the bare coupling constant of the SU(3) Wilson action. Estimates of the deconfining phase transition are available from $\beta =5.7$ to~6.8 (Francis et al.). Here it is shown that the entire range from 5.7 to 7.5 is well described by a power series of the lattice spacing $a$ times the lambda lattice mass scale ${\Lambda }_L$, using asymptotic scaling in the 2-loop and 3-loop approximations for $a{\Lambda }_L$. In both cases identical ratios for gradient flows versus deconfinement observables are obtained. Differences in the normalization constants with respect to ${\Lambda }_L$ give a handle on their systematic errors.

Extended version 6 pages, 3 figures

References in corpus (2)

• High-precision scale setting in lattice QCD
• Critical point and scale setting in SU(3) plasma: An update

Cited by in corpus (5)

• Latent heat at the first order phase transition point of SU(3) gauge theory
• Deconfinement, gradient and cooling scales for pure SU(2) lattice gauge theory
• Least square fitting with one parameter less
• Scale Setting and Topological Observables in Pure SU(2) LGT
• Estimates of Scaling Violations for Pure SU(2) LGT