Order Parameter for Confinement in Large N Gauge Theories with Fundamental Matter

Details Order Parameter for Confinement in Large N Gauge Theories with Fundamental Matter Order Parameter for Confinement in Large N Gauge Theories with Fundamental Matter

1997-07-10

arxiv.org/abs/hep-th/9707092v1

Phys.Rev. D56 (1997) 6566-6572

Physics

High Energy Physics

High Energy Physics - Theory

15 pages LaTeX, 6 eps figures, uses epsf

Scientific paper

10.1103/PhysRevD.56.6566

In a solvable model of two dimensional SU(N) (N \to \infty) gauge fields interacting with matter in both adjoint and fundamental representations we investigate the nature of the phase transition separating the strong and weak coupling regions of the phase diagram. By interpreting the large N solution of the model in terms of SU(N) representations it is shown that the strong coupling phase corresponds to a region where a gap occurs in the spectrum of irreducible representations. We identify a gauge invariant order parameter for the generalized confinement-deconfinement transition and give a physical meaning to each phase in terms of the interaction of a pair of test charges.

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