Ergodic Properties of Classical SU(2) Lattice Gauge Theory

Abstract

We investigate the relationship between the Lyapunov exponents of periodic trajectories, the average and fluctuations of Lyapunov exponents of ergodic trajectories, and the ergodic autocorrelation time for the two-dimensional hyperbola billiard. We then study the fluctuation properties of the ergodic Lyapunov spectrum of classical SU(2) gauge theory on a lattice. Our results are consistent with the notion that this system is globally hyperbolic. Among the many powerful theorems applicable to such systems, we discuss one relating to the fluctuations in the entropy growth rate.

21 pages, 7 figures

References in corpus (1)

• Event-by-event fluctuations of average transverse momentum in central Pb+Pb collisions at 158 GeV per nucleon

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