Monopole Order Parameter in SU(2) Lattice Gauge Theory

Abstract

We present the results of the numerical calculation of the probability distribution of the value of the monopole creation operator in $SU(2)$ lattice gluodynamics. We work in the maximal abelian projection. It occurs that at the low temperature, 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 is the direct proof of the existence of the abelian monopole condensate in the confinement phase of the gluodynamics, which confirms the dual superconductor model of the confining vacuum.

6 pages (LaTeX) + 2 figures; The complete paper is also available via WWW at http://venus.itep.ru/preprints/1995/95TH14.ps.gz; Talk given at the 29--th International Symposium on the Theory of Elementary Particles, Buckov, 29 August - 2 September, 1995. Revision: figures added

References in corpus (3)

• Colour confinement as dual Meissner effect: $SU(2)$ gauge theory
• Detecting Dual Superconductivity in the Ground State of Gauge Theory
• "Confinement Mechanism in Various Abelian Projections of $SU(2)$ Lattice Gluodynamics"

Cited by in corpus (13)

• Vacuum type of SU(2) gluodynamics in maximally Abelian and Landau gauges
• Monopoles in Abelian Polyakov gauge and projection (in)dependence of the dual superconductor mechanism of confinement
• Dual vortices and gauge choice in Abelian projected SU(2) lattice gauge theory
• Action and topological density carried by Abelian monopoles in finite temperature pure SU(2) gauge theory: an analysis using RG smoothing
• Matter degrees of freedom and string breaking in Abelian projected quenched SU(2) QCD
• Determination of monopole condensate from monopole action in quenched SU(2) QCD
• Numerical determination of monopole entropy in pure SU(2) QCD
• Monopole creation operators as confinement--deconfinement order parameters
• Blocking of lattice monopoles from the continuum in hot lattice gluodynamics
• Ehrenfest theorems and charge antiscreening in Abelian projected gauge theories
• Entropy of spatial monopole currents in pure SU(2) QCD at finite temperature
• Dynamically generated electric charge distributions in Abelian projected SU(2) lattice gauge theories
• Abelian monopoles in finite temperature lattice gauge fields: Classically perfect action, smoothing and various Abelian gauges