Decompactification of space or time in large N QCD_2

Details Decompactification of space or time in large N QCD_2 Decompactification of space or time in large N QCD_2

2000-01-25

arxiv.org/abs/hep-th/0001162v1

Phys.Lett. B481 (2000) 299-303

Physics

High Energy Physics

High Energy Physics - Theory

Latex2e, 8 pages, no figure

Scientific paper

10.1016/S0370-2693(00)00477-9

QCD_2 with fundamental quarks on a cylinder is solved to leading order in the 1/N expansion, including the zero mode gluons. As a result of the non-perturbative dynamics of these gauge degrees of freedom, the compact space-time direction gets effectively decompactified. In a thermodynamic interpretation, this implies that there is no pressure of order N and that the chiral condensate of order N is temperature independent. These findings are consistent with confinement of quarks, rule out both chiral and deconfining phase transitions in the finite temperature 't Hooft model, and help to resolve some controversial issues in the literature

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