Gausslaw quark confinement and polar representation for scalar fields
Abstract
The generators of gauge field and matter field gauge transformations for the SU(2) gauge group can be written as orbital and spin angular momenta respectively. The Gauss law requires that the sum of these momenta vanish. This is only possible if the state functionals are restricted to be singlevalued or doublevalued with respect to the gauge fields and the matter fields gauge variables at the same time. Such a restriction can be imposed on scalar matter fields by introducing a polar representation.
 Publication:

Physics Letters B
 Pub Date:
 January 1988
 DOI:
 10.1016/03702693(88)900974
 Bibcode:
 1988PhLB..201..147P