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

J. Ambjorn·J. Giedt·J. Greensite
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Abstract

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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J. Ambjorn, J. Giedt, J. Greensite. 1999-07-27. Vortex Structure vs. Monopole Dominance in Abelian-Projected Gauge Theory. https://doi.org/10.1088/1126-6708%2F2000%2F02%2F033

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