English

Phenomenological improvement of the linear-$\sigma$ model in the large-N_c limit

High Energy Physics - Phenomenology 2011-10-24 v1

Abstract

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

Keywords

Cite

@article{arxiv.1107.4001,
  title  = {Phenomenological improvement of the linear-$\sigma$ model in the large-N_c limit},
  author = {Achim Heinz},
  journal= {arXiv preprint arXiv:1107.4001},
  year   = {2011}
}