Vortices in SO(3)×Z(2) simulations
Abstract
We study the configuration space of the Tomboulis SO(3)×Z(2) formulation with periodic boundary conditions. The dynamical variables are constrained by the required coincidence of Z(2) and SO(3) monopoles. Furthermore, there is an additional constraint coming from the boundary conditions. We propose an update algorithm that satisfies the constraints and is straightforward to implement. We further prove that it reaches all configurations. We show that configurations that are topologically stable due to boundary conditions cannot be reached from the identity configuration; they have zero weight. We measure gauge invariant vortex counters for ``thin,'' ``thick,'' and ``hybrid'' vortex sheets. We also measure projection vortex counters defined in the maximal center gauge for comparison.
 Publication:

Physical Review D
 Pub Date:
 October 2000
 DOI:
 10.1103/PhysRevD.62.074509
 arXiv:
 arXiv:heplat/0002031
 Bibcode:
 2000PhRvD..62g4509A
 Keywords:

 11.15.Ha;
 11.30.Ly;
 Lattice gauge theory;
 Other internal and higher symmetries;
 High Energy Physics  Lattice
 EPrint:
 LaTeX