Abstract
We suggest that one-scale non-planar loops can be useful tools to study the approach of lattice gauge theory to the continuum limit. We show how to extract the string tension with reduced systematic errors from the knowledge of the minimal surface bounded by these loops. We apply this method in a Monte Carlo calculation of the string tension of the SU (3) lattice gauge theory in several color representations on a 8 4 lattice. The results are in complete agreement up to β = 6.0 with those obtained on much larger lattices from planar loop ratios or correlations of thermal loops.
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