Monopoles in High Temperature SU(2) Pure Yang-Mills Theory

摘要

In this discussion we examine the question of the screening of chromomagnetic fields in the simplest nonabelian high temperature gauge theory in 4 dimensions. We find, it is favourable for the system to generate monopoles with a mass M proportional T. The high temperature monopole plasma causes a finite screening length in good agreement with published MC values. The self-consistency of the approach obtains, as the monopole core radius, determined by a variational argument, turns out to be approximately equal to the calculated magnetic screening length. Finally after a speculation on the monopole condensation, we give a simple scaling argument, which yields a critical temperature, surprisingly close to the MC calculated value. (ERA citation 10:005751)