Article,
Nonperturbative tests of the fixed point action for SU(3) gauge theory
Nucl. Phys., (1995)
DOI: 10.1016/0550-3213(95)00459-6
Abstract
Abstract: In this paper (the second of a series) we extend our calculation of a classical fixed point action for lattice $SU(3)$ pure gauge theory to include gauge configurations with large fluctuations. The action is parameterized in terms of closed loops of link variables. We construct a few-parameter approximation to the classical FP action which is valid for short correlation lengths. We perform a scaling test of the action by computing the quantity $G = L \sigma(L)$ where the string tension $\sigma(L)$ is measured from the torelon mass $= L \sigma(L)$. We measure $G$ on lattices of fixed physical volume and varying lattice spacing $a$ (which we define through the deconfinement temperature). While the Wilson action shows scaling violations of about ten per cent, the approximate fixed point action scales within the statistical errors for $ 1/2 aT_c 1/6$. Similar behaviour is found for the potential measured in a fixed physical volume.
