PoS - Proceedings of Science
Volume 363 - 37th International Symposium on Lattice Field Theory (LATTICE2019) - Main session
Yang Mills short distance potential and perturbation theory
N. Husung, A. Nada, R. Sommer*
*corresponding author
Full text: pdf
Pre-published on: January 29, 2020
Published on: August 27, 2020
Abstract
We compute the coupling $\alpha_\mathrm{qq}$ defined in terms of the static quark force by simulating the $\mathrm{SU}(3)$ Yang-Mills theory at lattice spacings down to $10^{-2}$~fm, keeping the volume large. In order to systematically improve the approach to the continuum,
we subtract the leading cutoff effects in Symanzik's effective theory, resumming the
leading $\log(a/r)$-term by renormalization group improvement. Subsequently we extrapolate with $\bar g^2(a^{-1})^{\hat \gamma_1}\,(a/r)^2$ corrections to the continuum limit.
We finally investigate the applicability of continuum perturbation theory, extract the pure-gauge $\Lambda$-parameter at different values of $\alpha_\mathrm{qq}$ and different orders of perturbation theory and compare to other methods.
DOI: https://doi.org/10.22323/1.363.0263
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