Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2000-09-27
JHEP0011:010,2000
Physics
High Energy Physics
High Energy Physics - Lattice
22 pages, 2 figures, JHEP style. Typos corrected, some clarifications and new references added. To appear in JHEP
Scientific paper
10.1088/1126-6708/2000/11/010
We present a non-perturbative formalism for measuring defect free energies (monopole mass or vortex tension) in three-dimensional SU(2)+adjoint Higgs models. Starting from twisted, translation invariant boundary conditions, we perform a change of variables that allows us to express the defect free energies in terms of 't Hooft loops. We propose that the defect free energies can be used to distinguish between phases in this model, and also more generally in other gauge field theories where no local order parameters exist. In the case of monopoles, our construction can also be used in four-dimensional pure-gauge SU(2) theory, where it gives the monopole mass in the maximally Abelian gauge without the need of actually fixing the gauge in the simulation. Moreover, the expression is manifestly independent of the choice of the Abelian projection as long as it is compatible with the classical 't Hooft-Polyakov solution.
Davis Anne--Christine
Kibble T. W. B.
Rajantie Arttu
Shanahan Hugh
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