A gauge invariant order parameter for monopole condensation in QCD vacuum

In this paper we improve the existing order parameter for monopole condensation in gauge theory vacuum, making it gauge-invariant from scratch and free of the spurious infrared problems which plagued the old one. Computing the new parameter on the lattice will unambiguously detect weather dual superconductivity is the mechanism for color confinement. As a byproduct we relate confinement to the existence of a finite correlation length in the gauge-invariant correlator of chromo-electric field strengths.

Automated summary

In this paper, a new order parameter for monopole condensation in gauge theory vacuum is introduced, which is gauge-invariant and free of infrared problems. Calculating this new parameter on the lattice can definitively determine if dual superconductivity is the mechanism for color confinement. Additionally, the existence of a finite correlation length in the gauge-invariant correlator of chromo-electric field strengths is found to be related to confinement.