Characterizing Phases of the non-Abelian Coulomb Gas

Details Characterizing Phases of the non-Abelian Coulomb Gas Characterizing Phases of the non-Abelian Coulomb Gas

1998-10-02

arxiv.org/abs/hep-ph/9810218v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

9 pages two column PRL, APS LaTeX, 6 eps figures, uses epsf. Presented by G.W.S at the 5th International Workshop on Thermal F

Scientific paper

The thermodynamic problem of a gas of static quarks carrying U(N) charges and interacting with each other via U(N) electric gauge fields is formulated and solved in the large N limit. In a lattice theory, the solution can be found in any dimension. In particular, in 1+1-dimensions, the continuum model can also be solved. In that case, and when the quarks are in the adjoint representation, the explicit solution exhibits a first order quark confinement-deconfinement transition at a critical temperature and density. We also show that, when there are fundamental representation quarks, this phase transition persists until the relative density of fundamental quarks is comparable to the density of adjoint quarks, where it becomes a third order transition. We discuss the possible interpretation of the third order transition as deconfinement.

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