Thermal Phase Transition in Weakly Interacting Large N_C QCD

Details Thermal Phase Transition in Weakly Interacting Large N_C QCD Thermal Phase Transition in Weakly Interacting Large N_C QCD

1998-03-04

arxiv.org/abs/hep-ph/9803234v1

Phys.Lett. B429 (1998) 232-238

Physics

High Energy Physics

High Energy Physics - Phenomenology

10 pages, 1 figure

Scientific paper

10.1016/S0370-2693(98)00478-X

We consider thermal QCD in the large N_C limit, mainly in 1+1 dimensions. The gauge coupling is only taken into account to minimal order, by projection onto colour singlets. An expression for the free energy, exact as N_C goes to infinity, is then obtained. A third order phase transition will occur. The critical temperature depends on the ratio N_C/L, where L is the (infinite) spatial length. In the high temperature limit, the free energy will approach the same value as in the free theory, whereas we have a mesonic like phase at low temperature. Expressions for the quark condensate, <\bar\Psi \Psi >, are also obtained.

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