The effective theory for Wilson lines results from integrating over the variables of the finite-temperature gauge theory while holding the values of the lines fixed. A quantity which measures the range of interaction in the effective theory is introduced. It is approximated in a Monte Carlo simulation at two points near the confinement-deconfinement phase transition. The results show an interaction range of less than one lattice unit.
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Joe Kiskis (1988) studied this question.
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