Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
1995-08-23
Phys.Lett. B365 (1996) 233-238
Physics
High Energy Physics
High Energy Physics - Lattice
11 pages, uuencoded compressed postscript file
Scientific paper
10.1016/0370-2693(95)01233-8
We summarize our recent work on the construction and properties of fixed point (FP) actions for lattice $SU(3)$ pure gauge theory. These actions have scale invariant instanton solutions and their spectrum is exact through 1--loop, i.e. in their physical predictions there are no $a^n$ nor $g^2 a^n$ cut--off effects for any $n$. We present a few-parameter approximation to a 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 $\mu = L \sigma(L)$, on lattices of fixed physical volume and varying lattice spacing $a$. 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$.
DeGrand Thomas
Hasenfratz Anna
Hasenfratz Peter
Niedermayer Ferenc
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