Phenomenological improvement of the linear-σ model in the large-Nc limit
Abstract
The linear-σ model has been widely used to describe the chiral phase transition. Numerically, the critical temperature Tc of the chiral phase transition is in agreement with other effective theories of QCD. However, in the large-Nc limit Tc scales as Nc which is not in line with the NJL model and with basic expectations of QCD, according to which Tc is --just as the deconfinement phase transition- Nc-independent. This mismatch can be corrected by a phenomenologically motivated temperature dependent parameter.
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