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W. Kerler

Publications and source records attributed to W. Kerler.

23 records · Page 2Linked to original sources

Monopole currents and Dirac sheets in U(1) lattice gauge theory

We show that the phases of the 4-dimensional compact U(1) lattice gauge theory are unambiguously characterized by the topological properties of minimal Dirac sheets as well as of monopole currents lines. We obtain the minimal sheets by a simulated-annealing procedure. Our results indicate that the equivalence classes of sheet structures are the physical relevant quantities and that intersections are not important. In conclusion we get a percolation-type view of the phases which holds beyond the particular boundary conditions used.

hep-lat↗

Cluster dynamics for first-order phase transitions in the Potts model

An algorithm for Monte Carlo simulations is proposed in which the parameter controlling the strength of the transition becomes a dynamical variable and in which efficient transitions are achieved by cluster steps. It allows to avoid the strongly suppressed tunneling between the phases by travelling easily via the second order region. Numerical results for the Potts model are presented which demonstrate the advantages of the method.

hep-lat↗

Spectral properties and lattice-size dependences in cluster algorithms

Simulation results of Ising systems for several update rules, observables, and dimensions are analyzed. The lattice-size dependence is discussed for the autocorrelation times and for the weights of eigenvalues, giving fit results in the case of power laws. Implications of spectral properties are pointed out and the behavior of a particular observable not governed by detailed balance is explained.

hep-lat↗