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We determine the correlation between Polyakov loops in three dimensionalSU(3) gauge theory in the confined region at finite temperature. For thispurpose we perform lattice calculations for the number of steps in thetemperature direction equal to six. This is expected to be in the scalingregion of the lattice theory. We compare the results to the bosonic stringmodel. The agreement is very good for temperatures T<0.7T_c, where T_c is thecritical temperature. In the region 0.7T_c<T<T_c we enter the critical region,where the critical properties of the correlations are fixed by universality tobe those of the two dimensional three state Potts model. Nevertheless, bycalculating the critical lattice coupling, we show that the ratio of thecritical temperature to the square root of the zero temperature string tension,where the latter is taken from the literature, remains very near to the stringmodel prediction.

Three dimensional finite temperature SU(3) gauge theory in the confined region and the string picture