HAMILTONIAN-DYNAMICS OF YANG-MILLS FIELDS ON A LATTICE

Citation
Ts. Biro et al., HAMILTONIAN-DYNAMICS OF YANG-MILLS FIELDS ON A LATTICE, International journal of modern physics C, 5(1), 1994, pp. 113-149
Citations number
45
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical","Computer Science Interdisciplinary Applications
ISSN journal
01291831
Volume
5
Issue
1
Year of publication
1994
Pages
113 - 149
Database
ISI
SICI code
0129-1831(1994)5:1<113:HOYFOA>2.0.ZU;2-1
Abstract
We review recent results from studies of the dynamics of classical Yan g-Mills fields on a lattice. We discuss the numerical techniques emplo yed in solving the classical lattice Yang-Mills equations in real time , and present results exhibiting the universal chaotic behavior of non -abelian gauge theories. The complete spectrum of Lyapunov exponents i s determined for the gauge group SU(2). We survey results obtained for the SU(3) gauge theory and other nonlinear field theories. We also di scuss the relevance of these results to the problem of thermalization in gauge theories.