Nonlocal quark model beyond mean field and QCD phase transition

Details Nonlocal quark model beyond mean field and QCD phase transition Nonlocal quark model beyond mean field and QCD phase transition

2009-10-22

arxiv.org/abs/0910.4314v1

Nucl.Phys.Proc.Suppl.198:51-54, 2010

Physics

High Energy Physics

High Energy Physics - Phenomenology

4 pages, 4 figures, talk at the 3rd Joint International Hadron Structure'09 Conference, Tatranska Strba (Slovak Republic), Aug

Scientific paper

10.1016/j.nuclphysbps.2009.12.01

A nonlocal chiral quark model is consistently extended beyond mean field using a strict 1/Nc expansion scheme. The parameters of the nonlocal model are refitted to the physical values of the pion mass and the weak pion decay constant. The size of the 1/Nc correction to the quark condensate is carefully studied in the nonlocal and the usual local Nambu-Jona-Lasinio models. It is found that even the sign of the corrections can be different. This can be attributed to the mesonic cut-off of the local model. It is also found that the 1/Nc corrections lead to a lowering of the temperature of the chiral phase transition in comparison with the mean-field result. On the other hand, near the phase transition the 1/Nc expansion breaks down and a non-perturbative scheme for the inclusion of mesonic correlations is needed in order to describe the phase transition point.

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