Ergodic properties of classical SU(2) lattice gauge theory -: art. no. 054506

被引：31

作者：

Bolte, J ^{[1
]}

Müller, B

Schäfer, A

机构：

[1] Univ Ulm, Theoret Phys Abt, D-89069 Ulm, Germany

[2] Duke Univ, Dept Phys, Durham, NC 27708 USA

[3] Univ Regensburg, Inst Theoret Phys, D-93040 Regensburg, Germany

来源：

PHYSICAL REVIEW D | 2000年 / 61卷 / 05期

关键词：

D O I：

10.1103/PhysRevD.61.054506

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

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.

引用

页数：7

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