Deconfinement at N>2: SU(N) Georgi-Glashow model in 2+1 dimensions
Ian. I Kogan (Oxford U.), Alex Kovner (CERN, Plymouth U.), Bayram, Tekin (Oxford U.)
TL;DR
This paper investigates the deconfinement phase transition in the SU(N) Georgi-Glashow model in 2+1 dimensions, revealing a second-order transition with a unique universality class for all N and describing the fixed point with a conformal field theory.
Contribution
It demonstrates that the deconfinement transition is second order for any N and characterizes the conformal fixed point as a deformed SU(N)_1 WZNW model with N-1 massless fields.
Findings
Transition is second order for all N
Universality class differs from Z(N) Villain model
Fixed point described by a deformed SU(N)_1 WZNW model
Abstract
We analyse the deconfining phase transition in the SU(N) Georgi-Glashow model in 2+1 dimensions. We show that the phase transition is second order for any N, and the universality class is different from the Z(N) invariant Villain model. At large N the conformal theory describing the fixed point is a deformed SU(N)_1 WZNW model which has N-1 massless fields. It is therefore likely that its self-dual infrared fixed point is described by the Fateev-Zamolodchikov theory of Z(N) parafermions.
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