New confinement deconfinement order parameter in lattice theories
Wiese W.-E. , Polikarpov M. I.
A gauge field may be in a phase of confinement or deconfinement. An order parameter, defined as the dimensionality d of the current lines of Abelian magnetic monopoles, is proposed. This definition is dictated by the confinement scenario which has magnetic monopoles condensing into a superconducting phase in which the order parameter is d > 1. In the deconfinement phase there is no condensation, and the order parameter is d — 1. This result is supported by numerical calculations.