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arXiv · 1711.01860

SU(3) Yang Mills theory at small distances and fine lattices

Nikolai Husung·Mateusz Koren·Philipp Krah·Rainer Sommer
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Abstract

We investigate the SU(3) Yang Mills theory at small gradient flow time and at short distances. Lattice spacings down to $a=0.015$ fm are simulated with open boundary conditions to allow topology to flow in and out. We study the behaviour of the action density $E(t)$ close to the boundaries, the feasibility of the small flow-time expansion and the extraction of the $\Lambda$-parameter from the static force at small distances. For the latter, significant deviations from the 4-loop perturbative $\beta$-function are visible at $\alpha\approx 0.2\,$. We still can extrapolate to extract $r_0\Lambda$.

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Nikolai Husung, Mateusz Koren, Philipp Krah, Rainer Sommer. 2017-11-06. SU(3) Yang Mills theory at small distances and fine lattices. https://doi.org/10.1051/epjconf%2F201817514024

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