We decompose U(1) gauge fields into a monopole and photon part across the
phase transition from the confinement to the Coulomb phase. We analyze the
leading Lyapunov exponents of such gauge field configurations on the lattice
which are initialized by quantum Monte Carlo simulations. It turns out that
there is a strong relation between the sizes of the monopole density and the
Lyapunov exponent.Comment: Contribution to HEP-MAD'01 - High-Energy Physics International
Conferences (Antananarivo, Madagascar, 2001/09/27 - 2001/10/05), 6 pages, 5
figure