MOTION OF CHERN-SIMONS NUMBER AT HIGH-TEMPERATURES UNDER A CHEMICAL-POTENTIAL

I investigate the evolution of finite temperature, classical Yang-Mill s field equations under the influence of a chemical potential for Cher n-Simons number N-cs. The rate of N-cs diffusion, Gamma(d), and the li near response of N-cs to a chemical potential, Gamma(mu), are both com puted; the relation Gamma(d) = 2 Gamma(mu) is satisfied numerically an d the results agree with the recent measurement of Gamma(d) by Ambjom and Krasnitz. The response of N-cs under chemical potential remains li near at least to mu = 6T, which is impossible if there is a free energ y barrier to the motion of N-cs. The possibility that the result depen ds on lattice artefacts via hard thermal loops is investigated by chan ging the lattice action and by examining elongated rectangular lattice s; provided that the lattice is fine enough, the result is weakly if a t all dependent on the specifics of the cutoff. I also compare SU(2) w ith SU(3) and find Gamma(su(3)) similar to 7(alpha(s)/alpha w)(4) Gamm a(su(2)).