Abstract
Chaos in the XY gauge glasses in the critical region is studied by using the discretized Migdal-Kadanoff renormalization group scheme. The thermal exponent y c is found to be independent of the number of clock states q. However, the Lyapunov exponent ζ c characterizing the chaotic behavior in the critical region varies with q providing non-universal behavior of the interfacial entropy in this region. The exponent ζ c is smaller than the Lyapunov exponent found away from the criticality. This is similar to what was proposed by Nifle and Hilhorst for 3D Ising spin glasses.
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