Meson loop effect on high density chiral phase transition
Tomohiko Sakaguchi, Kouji Kashiwa, Masayuki Matsuzaki, Hiroaki Kouno, Masanobu Yahiro
Abstract
We test the stability of the mean-field solution in the Nambu--Jona-Lasinio model. For stable solutions with respect to both the σand πdirections, we investigate effects of the mesonic loop corrections of 1/Nc, which correspond to the next-to-leading order in the 1/Nc 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 Nc=3, however, instability of the mean field effective potential prevents us from determining the minimum of the corrected one.
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