Ergodic Properties of Classical SU(2) Lattice Gauge Theory

Details Ergodic Properties of Classical SU(2) Lattice Gauge Theory Ergodic Properties of Classical SU(2) Lattice Gauge Theory

1999-06-28

arxiv.org/abs/hep-lat/9906037v2

Phys.Rev.D61:054506,2000

Physics

High Energy Physics

High Energy Physics - Lattice

21 pages, 7 figures

Scientific paper

10.1103/PhysRevD.61.054506

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.

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