Vortices and confinement at weak coupling

Details Vortices and confinement at weak coupling Vortices and confinement at weak coupling

1997-11-06

arxiv.org/abs/hep-lat/9711009v1

Phys.Rev. D57 (1998) 4054-4062

Physics

High Energy Physics

High Energy Physics - Lattice

21 pages, LaTeX

Scientific paper

10.1103/PhysRevD.57.4054

We discuss the physical picture of thick vortices as the mechanism responsible for confinement at arbitrarily weak coupling in SU(2) gauge theory. By introducing appropriate variables on the lattice we distinguish between thin, thick and `hybrid' vortices, the latter involving Z(2) monopole loop boundaries. We present numerical lattice simulation results that demonstrate that the full SU(2) string tension at weak coupling arises from the presence of vortices linked to the Wilson loop. Conversely, excluding linked vortices eliminates the confining potential. The numerical results are stable under alternate choice of lattice action as well as a smoothing procedure which removes short distance fluctuations while preserving long distance physics.

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