Chirality tubes along monopole trajectories

We classify the lattice by elementary 3-cubes which are associated to dual links occupied by, or free of monopoles. We then compute the quark condensate, the quark charge and the chiral density on those cubes. By looking at distributions we demonstrate that monopole trajectories carry considerably more chirality with respect to the free vacuum.Comment: LATTICE99(topology), 3 pages, eps figure

Monopoles and Chaos

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

Monopoles in Real Time for Classical U(1) Gauge Field Theory

U(1) gauge fields are decomposed 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. We observe that the monopole field carries the same Lyapunov exponent as the original U(1) field. As a long awaited result, we show that monopoles are created and annihilated in pairs as a function of real time in excess to a fixed average monopole number.Comment: Contribution to the "International Conference on Color Confinement and Hadrons in Quantum Chromodynamics - Confinement 2003" (Tokyo, Japan, 2003-07-21 -- 2003-07-24); 5 pages; 6 figure