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

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

2006-10-04

arxiv.org/abs/hep-th/0610046v1

Phys.Lett.B648:323-328,2007

Physics

High Energy Physics

High Energy Physics - Theory

12 pages

Scientific paper

10.1016/j.physletb.2006.12.079

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.

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