We report detailed calculations of the profiles of energy and action densities in the quarkantiquark string in SU(2) lattice gauge theory. We conclude that at B q-q separation R sz 1.0 fm we are beginning to see the asymptotic flux tube. By employing the Michael sum rules we further conclude that the peak energy density approaches a constant in R.

We studied SU (2) flux distributions on four dimensional Euclidean lattices with one dimension very large. By choosing the time direction appropriately we can study physics in two cases: one is finite volume in the zero temperature limit, another is finite temperature in the intermediate to large volume limit.We found that for cases of β > β c there is no intrinsic string formation. Our lattices with β > β c belong to the intermediate volume region, and the string tension in this region is due to finite volume effects. In large volumes we found evidence for intrinsic string formation.

We solve the two-variable Fokker-Planck equation for the real probability distribution generated by the complex Langevin equation for a complex Gaussian integral. We find the eigenvalues, eigenvectors, and time-dependent behavior.

We calculate the solenoidal magnetic monopole current and electric flux distributions at finite temperature in the presence of a static quark-antiquark pair. The simulation was performed using SU(2) lattice gauge theory in the maximal Abelian gauge. We find that the monopole current and electric flux distributions are quite different below and above the finite temperature deconfining phase transition point and agree with predictions of the Ginzburg-Landau theory.PACS number(s): 11.15.Ha Typeset Using REVTEX

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