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Meson loop effect on high density chiral phase transition

Tomohiko Sakaguchi·Kouji Kashiwa·Masayuki Matsuzaki·Hiroaki Kouno·Masanobu Yahiro
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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/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.

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Tomohiko Sakaguchi, Kouji Kashiwa, Masayuki Matsuzaki, Hiroaki Kouno, Masanobu Yahiro. 2007-07-12. Meson loop effect on high density chiral phase transition. https://arxiv.org/abs/hep-ph/0606219

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