Ergodic Properties of Classical SU(2) Lattice Gauge Theory
High Energy Physics - Lattice
2008-11-26 v2 chao-dyn
Condensed Matter
High Energy Physics - Phenomenology
Chaotic Dynamics
Nuclear 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.
Cite
@article{arxiv.hep-lat/9906037,
title = {Ergodic Properties of Classical SU(2) Lattice Gauge Theory},
author = {J. Bolte and B. Müller and A. Schäfer},
journal= {arXiv preprint arXiv:hep-lat/9906037},
year = {2008}
}
Comments
21 pages, 7 figures