Theta Sectors and Thermodynamics of a Classical Adjoint Gas

Details Theta Sectors and Thermodynamics of a Classical Adjoint Gas Theta Sectors and Thermodynamics of a Classical Adjoint Gas

1997-10-06

arxiv.org/abs/hep-th/9710044v1

Nucl.Phys. B517 (1998) 622-637

Physics

High Energy Physics

High Energy Physics - Theory

17 pages LaTeX, 3 eps figures, uses epsf

Scientific paper

10.1016/S0550-3213(98)00090-X

The effect of topology on the thermodynamics of a gas of adjoint representation charges interacting via 1+1 dimensional SU(N) gauge fields is investigated. We demonstrate explicitly the existence of multiple vacua parameterized by the discrete superselection variable k=1,...,N. In the low pressure limit, the k dependence of the adjoint gas equation of state is calculated and shown to be non-trivial. Conversely, in the limit of high system pressure, screening by the adjoint charges results in an equation of state independent of k. Additionally, the relation of this model to adjoint QCD at finite temperature in two dimensions and the limit of large N are discussed.

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