Hamiltonian Dynamics of Yang-Mills Fields on a Lattice

Details Hamiltonian Dynamics of Yang-Mills Fields on a Lattice Hamiltonian Dynamics of Yang-Mills Fields on a Lattice

1993-06-02

arxiv.org/abs/nucl-th/9306002v2

Int.J.Mod.Phys.C5:113-149,1994

Physics

Nuclear Physics

Nuclear Theory

REVTeX, 51 pages, 20 figures

Scientific paper

10.1142/S0129183194000106

We review recent results from studies of the dynamics of classical Yang-Mills fields on a lattice. We discuss the numerical techniques employed in solving the classical lattice Yang-Mills equations in real time, and present results exhibiting the universal chaotic behavior of nonabelian gauge theories. The complete spectrum of Lyapunov exponents is determined for the gauge group SU(2). We survey results obtained for the SU(3) gauge theory and other nonlinear field theories. We also discuss the relevance of these results to the problem of thermalization in gauge theories.

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