Monopoles and Lyapunov Exponents in U(1) Lattice Gauge Theory

Details Monopoles and Lyapunov Exponents in U(1) Lattice Gauge Theory Monopoles and Lyapunov Exponents in U(1) Lattice Gauge Theory

2002-05-03

arxiv.org/abs/hep-lat/0205003v1

Physics

High Energy Physics

High Energy Physics - Lattice

8 pages, 7 figures. Contribution to the Nato Advanced Research Workshop on "Confinement, Topology, and Other Non-Perturbative

Scientific paper

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 a strong relation between the sizes of the monopole density and the Lyapunov exponent. Evidence is found that monopole fields stay chaotic in the continuum whereas the photon fields are regular.

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