UNSPECIFIED. (1999) Lyapunov bounds for lattice gauge dynamics. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 200 (2). pp. 487-494. ISSN 0010-3616

Abstract

We study the classical Hamiltonian dynamics of the Kogut-Susskind model for lattice gauge theories on a finite box in a d-dimensional integer lattice. The coupling constant for the plaquette interaction is denoted lambda(2). When the gauge group is a real or a complex subgroup of a unitary matrix group U(N), N greater than or equal to 1, we show that the maximal Lyapunov exponent is bounded by 2 lambda root d-1, uniformly in the size of the lattice, the energy of the system as well. as the order, N, of the gauge group.

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