Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
1997-05-04
Phys.Rev. D56 (1997) 5395-5399
Physics
High Energy Physics
High Energy Physics - Lattice
12 pages, revtex, including 2 Postscript figures; conclusions have changed slightly to conform to the theorem of Van Enter, Fe
Scientific paper
10.1103/PhysRevD.56.5395
We attempt the numerical construction of an effective action in three dimensions for Ising spins which represent the Wilson lines in the four-dimensional SU(3) gauge theory at finite temperature. For each configuration of the gauge theory, each spin is determined by averaging the Wilson lines over a small neighborhood and then projecting the average to +/-1 according to whether the neighborhood is ordered or disordered. The effective Ising action, determined via the lattice Schwinger-Dyson equations, contains even (two-spin) and odd (one- and three-spin) terms with short range. We find that the truncation to Ising degrees of freedom produces an effective action which is discontinuous across the gauge theory's phase transition. This discontinuity may disappear if the effective action is made more elaborate.
Svetitsky Benjamin
Weiss Nathan
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