Setting the scale for the Luescher-Weisz action
Christof Gattringer, Roland Hoffmann, Stefan Schaefer
TL;DR
This paper determines the lattice scale in quenched SU(3) gauge theory using the Luescher-Weisz action by analyzing the quark-antiquark potential and applying a hypercubic transformation across various gauge couplings.
Contribution
It introduces a method to set the lattice scale for the Luescher-Weisz action using a hypercubic transformation and computes the Sommer parameter at multiple couplings.
Findings
Lattice spacing determined at 6 gauge couplings
Lattice spacings range from 0.084 fm to 0.136 fm
Scale setting method validated for quenched SU(3)
Abstract
We study the quark-antiquark potential of quenched SU(3) lattice gauge theory with the Luescher-Weisz action. After blocking the gauge fields with the recently proposed hypercubic transformation we compute the Sommer parameter, extract the lattice spacing a and set the scale at 6 different values of the gauge coupling in a range from a = 0.084 fm to 0.136 fm.
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