Nature of the deconfining phase transition in the 2+1-dimensional SU(N) Georgi-Glashow model

Philippe Lecheminant (1)

1 LPTM - UMR 8089 - Laboratoire de Physique Théorique et Modélisation

The nature of the deconfining phase transition in the 2+1-dimensional SU(N) Georgi-Glashow model is investigated. Within the dimensional-reduction hypothesis, the properties of the transition are described by a two-dimensional vectorial Coulomb gas models of electric and magnetic charges. The resulting critical properties are governed by a generalized SU(N) sine-Gordon model with self-dual symmetry. We show that this model displays a massless flow to an infrared fixed point which corresponds to the Z$_N$ parafermions conformal field theory. This result, in turn, supports the conjecture of Kogan, Tekin, and Kovner that the deconfining transition in the 2+1-dimensional SU(N) Georgi-Glashow model belongs to the Z$_N$ universality class.

Mots clés: sine-Gordon model; monopoles; self-duality; parafermions

Domaines: Physique des Hautes Energies - Théorie [hep-th]; Electrons fortement corrélés [cond-mat.str-el]

Philippe Lecheminant. Nature of the deconfining phase transition in the 2+1-dimensional SU(N) Georgi-Glashow model. Physics Letters B, 2007, 648, pp.323. ⟨hal-00103413⟩