  We studied the finite temperature phase transition of SU(2) gauge theory on
four-dimensional Euclidean lattices by Monte Carlo simulations, and measured
the flux distributions of a $q\bar q$ pair in both confined and unconfined
phases. We reviewed and generalized Michael sum rules to include finite
temperature effects. To compare our flux data with predictions of Michael sum
rules, we studied the behavior of string tension with temperature. Our data
agree well with the generalized sum rules.
