Vortices in SO(3)xZ(2) simulations

Abstract

We study the configuration space of the Tomboulis $SO(3)\times Z(2)$ formulation with periodic boundary conditions. The dynamical variables are constrained by the required coincidence of Z(2) and SO(3) monopoles. We propose an update algorithm that satisfies the constraints and is straightforward to implement. We further prove that this it reaches all configurations. We show how the boundary conditions put constraints on the configuration space. We measure gauge invariant vortex counters for "thin", "thick" and "hybrid" vortex sheets. For comparison we also measure projection vortex counters defined in the maximal center gauge.

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References in corpus (6)

• Computation of the Vortex Free Energy in SU(2) Gauge Theory
• The relevance of center vortices
• First Evidence for Center Dominance in SU(3) Lattice Gauge Theory
• Quantum gauge fixing and vortex dominance
• SU(3) vortex-like configurations in the maximal center gauge
• Centre vortices and their friends

Cited by in corpus (5)

• Comparison of SO(3) and SU(2) lattice gauge theory
• Modified SO(3) Lattice Gauge Theory at non zero T with Parallel Tempering: Monopole and Vortex Condensation
• A finite temperature investigation of dual superconductivity in the modified SO(3) lattice gauge theory
• Center vortices on SU(2) lattices
• Connection between Tomboulis vortices and projection vortices