Chiral symmetry in the low-energy limit of QCD at finite temperature

Details Chiral symmetry in the low-energy limit of QCD at finite temperature Chiral symmetry in the low-energy limit of QCD at finite temperature

2011-05-26

arxiv.org/abs/1105.5274v4

Phys. Rev. C 84, 055208 (2011)

Physics

High Energy Physics

High Energy Physics - Phenomenology

17 pages, 4 figures. Version accepted for publication in Physical Review C. Thanks a lot to the referee for the excellent revi

Scientific paper

10.1103/PhysRevC.84.055208

We derive a non-local Nambu-Jona-Lasinio model from QCD with a form factor exactly obtained in the infrared limit. With this model, having all the parameters properly fixed through those of QCD, we consider the case of finite temperature and compute the solution of the gap equation at small temperature and small momenta and zero chemical potential. Taking the quark masses to be zero, it is proved that the theory undergoes a phase transition with a critical temperature exactly determined. These results prove unequivocally that the picture of the vacuum of QCD as a liquid of instantons is a very good approximation.

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