Vortex Structure vs. Monopole Dominance in Abelian-Projected Gauge Theory

Details Vortex Structure vs. Monopole Dominance in Abelian-Projected Gauge Theory Vortex Structure vs. Monopole Dominance in Abelian-Projected Gauge Theory

1999-07-27

arxiv.org/abs/hep-lat/9907021v1

JHEP 0002 (2000) 033

Physics

High Energy Physics

High Energy Physics - Lattice

37 pages, including 23 eps figures, Latex2e

Scientific paper

10.1088/1126-6708/2000/02/033

We find that Polyakov lines, computed in abelian-projected SU(2) lattice gauge theory in the confined phase, have finite expectation values for lines corresponding to two units of the abelian electric charge. This means that the abelian-projected lattice has at most Z(2), rather than U(1), global symmetry. We also find a severe breakdown of the monopole dominance approximation, as well as positivity, in this charge-2 case. These results imply that the abelian-projected lattice is not adequately represented by a monopole Coulomb gas; the data is, however, consistent with a center vortex structure. Further evidence is provided, in lattice Monte Carlo simulations, for collimation of confining color-magnetic flux into vortices.

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