Vortex configurations in SO(3) × Z(2)
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.
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