HAMILTONIAN DYNAMICS OF YANG-MILLS FIELDS ON A LATTICE

T.S. Biró, C. Gong, B. Müller and A. Trayanov
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T.S. Biró: Institut für Theoretische Physik, Justus-Liebig-Universität, D-6300 Giessen, Germany
C. Gong: Department of Physics, Duke University, Durham, NC 27708, USA
B. Müller: Department of Physics, Duke University, Durham, NC 27708, USA
A. Trayanov: NCSC, Research Triangle Park, NC 27709, USA

International Journal of Modern Physics C (IJMPC), 1994, vol. 05, issue 01, 113-149

Abstract: 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 non-abelian 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.

Date: 1994
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DOI: 10.1142/S0129183194000106

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