72
GAUGE FIELDS AND STRINGS
and we obtain a Coulomb force. Therefore all our considerations of
compact QED in three dimensions work for the Georgi-Glashow
model. In particular, in the weak coupling limit this model confines
electric charges by a linear potential for ^ = 3 and describes an
ordinary Coulomb electric force for ^ = 4.
It would be quite interesting to have a continuum formulation for the
compact theory of the third rank. Unfortunately this is not known,
mainly because it is difficult to give a continuum Non-Abelian generalization for this case.
GAUGE FIELDS AND STRINGS
and we obtain a Coulomb force. Therefore all our considerations of
compact QED in three dimensions work for the Georgi-Glashow
model. In particular, in the weak coupling limit this model confines
electric charges by a linear potential for ^ = 3 and describes an
ordinary Coulomb electric force for ^ = 4.
It would be quite interesting to have a continuum formulation for the
compact theory of the third rank. Unfortunately this is not known,
mainly because it is difficult to give a continuum Non-Abelian generalization for this case.