The authors simulate the Aharonov-Bohm phase of a Wilson loop around a lattice vortex and find it gives phase π in the Higgs phase but is swamped by noise in the confinement phase.
Screening of Z(N) monopole pairs in gauge theories
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abstract
The screening of magnetic Z(N)-monopoles and the associated screening length in SU(N) gauge theories are analyzed theoretically, and computed numerically in the 3d SU(2) theory. The nature of the screening excitations as well as their mass have so far remained inconclusive in the literature. Here we show that the screening mass is identical to the lowest J^{PC}_R=0^{++}_+ excitation of the Yang-Mills Hamiltonian with one compact direction with period 1/T, the subscript R referring to parity in this direction. We extend the continuum formulation to one on the lattice, and determine the transfer matrix governing the decay of the spatial monopole correlator at any finite lattice spacing. Our numerical results for SU(2) for the screening mass in the dimensionally reduced (high temperature) theory are compatible with the 0^{++} glueball mass in 3d SU(2).
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Analyzing the Higgs-confinement transition with non-local operators on the lattice
The authors simulate the Aharonov-Bohm phase of a Wilson loop around a lattice vortex and find it gives phase π in the Higgs phase but is swamped by noise in the confinement phase.