DYNAMICS OF THE NORMAL TO VORTEX-GLASS TRANSITION - MEAN-FIELD THEORY AND FLUCTUATIONS

A mean-field theory is developed for the recently proposed normal to superconducting vortex-glass transition. Using techniques developed to study the critical dynamics of spin glasses, we calculate the mean-field vortex-glass phase boundary T(g)(H), and find that the dynamic critical exponent z = 4 in mean-field theory. In addition, we find that the fluctuation conductivity in the vicinity of the transition has the form sigma approximately xi(2 - d + z), in agreement with recent scaling theories of the transition. The extension of these results beyond the mean-field regime is also discussed.