Meson loop effect on high density chiral phase transition
High Energy Physics - Phenomenology
2007-07-12 v2 Nuclear Theory
Abstract
We test the stability of the mean-field solution in the Nambu--Jona-Lasinio model. For stable solutions with respect to both the \sigma and \pi directions, we investigate effects of the mesonic loop corrections of 1/N_c, which correspond to the next-to-leading order in the 1/N_c expansion, on the high density chiral phase transition. The corrections weaken the first order phase transition and shift the critical chemical potential to a lower value. At N_c=3, however, instability of the mean field effective potential prevents us from determining the minimum of the corrected one.
Cite
@article{arxiv.hep-ph/0606219,
title = {Meson loop effect on high density chiral phase transition},
author = {Tomohiko Sakaguchi and Kouji Kashiwa and Masayuki Matsuzaki and Hiroaki Kouno and Masanobu Yahiro},
journal= {arXiv preprint arXiv:hep-ph/0606219},
year = {2007}
}
Comments
10 pages, 5 figures