Effective Constraint Potential for Abelian Monopole in SU(2) Lattice Gauge Theory

Details Effective Constraint Potential for Abelian Monopole in SU(2) Lattice Gauge Theory Effective Constraint Potential for Abelian Monopole in SU(2) Lattice Gauge Theory

1996-10-03

arxiv.org/abs/hep-lat/9610007v2

Phys.Lett. B399 (1997) 267-273

Physics

High Energy Physics

High Energy Physics - Lattice

10 pages, LaTeX, 3 PS-figures, uses epsf.sty; (Revision: minor corections, two new references)

Scientific paper

10.1016/S0370-2693(97)00309-2

We describe numerical calculation results for the probability distribution of the value of the monopole creation operator in the SU(2) lattice gluodynamics. We work in the maximal abelian projection. It occurs that at low temperatures, below the deconfinement phase transition, the maximum of the distribution is shifted from zero, which means that the effective constraint potential is of the Higgs type. Above the phase transition the minimum of the potential (the maximum of the monopole field distribution) is at the zero value of the monopole field. This fact confirms the existence of the abelian monopole condensate in the confinement phase of lattice gluodynamics, and agrees with the dual superconductor model of the confining vacuum.

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