One-dimensional dynamics of QCD2 string

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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9p., LaTeX

Scientific paper

10.1016/0370-2693(95)00505-F

We show that QCD$_2$ on 2D pseudo-manifolds is consistent with the Gross-Taylor string picture. It allows us to introduce a model describing the one-dimensional evolution of the QCD$_2$ string (in the sense that QCD$_2$ itself is regarded as a zero-dimensional system). The model is shown to possess the third order phase transition associated with the $c=1$ Bose string below which it becomes equivalent to the vortex-free sector of the 1-dimensional matrix model. We argue that it could serve as a toy model for the glueball-threshold behavior of multicolor QCD.

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