Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
1995-06-27
Nucl.Phys. B454 (1995) 615-637
Physics
High Energy Physics
High Energy Physics - Lattice
28 pages (latex) + 11 figures (Postscript), uuencoded
Scientific paper
10.1016/0550-3213(95)00459-6
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 $G = L \sqrt{\sigma(L)}$ where the string tension $\sigma(L)$ is measured from the torelon mass $\mu = L \sigma(L)$. 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 \ge aT_c \ge 1/6$. Similar behaviour is found for the potential measured in a fixed physical volume.
DeGrand Thomas
Hasenfratz Anna
Hasenfratz Peter
Niedermayer Ferenc
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