Abstract
Classical equations of motion of many field theories (compact U(1), SU(2) and SU(3) Yang-Mills, SU(2) Yang-Mills-Higgs, O(4)) show a chaotic dynamical behavior of homogeneous time-dependent configurations. The Hamiltonian lattice regularization of such theories were studied by us numerically and the leading Lyapunov exponent — a real-time property — has been extracted. Its scaling with the average energy per plaquette (interpreted as temperature) permits to draw conclusions in the fine resolution (vanishing lattice spacing) limit. We also report about a coincidence between the leading Lyapunov exponent in SU(2) Yang-Mills lattice theory and the resummed perturbative gluon damping rate at high temperature (O(g 2 T)).
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© 1997 Springer-Verlag
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Biró, T.S., Fülöp, Á., Gong, C., Matinyan, S., Müller, B., Trayanov, A. (1997). Chaotic dynamics in classical lattice field theories. In: Clark, J.W., Ristig, M.L. (eds) Theory of Spin Lattices and Lattice Gauge Models. Lecture Notes in Physics, vol 494. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0104308
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DOI: https://doi.org/10.1007/BFb0104308
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