Critical dynamics of a vortex-loop model for the superconducting transition

We calculate analytically the dynamic critical exponent z(MC), measured in Monte Carlo simulations for a vortex loop model of the superconducting transition, and account for the simulation results. In the weak screening limit, where magnetic fluctuations are neglected, the dynamic exponent is found to be z(MC) = 3/2. In the perfect screening limit, z(MC) = 5/2. We relate z(MC) to the actual value of z observable in experiments and find that z approximately 2, consistent with some experimental results.