We derive the gauge-theory analogue of the "generalized" X-Y model of Jose, Kadanoff, Kirkpartick and Nelson. This model is a "generalized" scalar electrodynamics which exhibits, in general, three phases: a Higgs phase, ordinary scalar electrodynamics and a confining phase. There is an exact duality map between the Higgs scalar QED and the confinement/freedom phase transitions. We also discuss whether the various transitions are first, order second order with cross-over phenomena, or whether there exists a tricritical point.
ASJC Scopus subject areas
- Nuclear and High Energy Physics