Phase transition in the Higgs model of scalar dyons

Abstract

In the present paper we investigate the phase transition "Coulomb--confinement" in the Higgs model of abelian scalar dyons -- particles having both, electric $e$ and magnetic $g$, charges. It is shown that by dual symmetry this theory is equivalent to scalar fields with the effective squared electric charge e^{*2}=e^2+g^2. But the Dirac relation distinguishes the electric and magnetic charges of dyons. The following phase transition couplings are obtained in the one--loop approximation: α_{crit}=e^2_{crit}/4π\approx 0.19, \tildeα_{crit}=g^2_{crit}/4π\approx 1.29 and α^*_{crit}\approx 1.48.