Abstract
We test the stability of the mean field solution in the Nambu-Jona-Lasinio model in a semi-quantitative manner. For stable solutions with respect to both the σ and π directions, 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.
| Original language | English |
|---|---|
| Pages (from-to) | 116-121 |
| Number of pages | 6 |
| Journal | Central European Journal of Physics |
| Volume | 6 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - Mar 1 2008 |
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All Science Journal Classification (ASJC) codes
- Physics and Astronomy(all)
Cite this
Meson loop effect on high density chiral phase transition. / Sakaguchi, Tomohiko; Kashiwa, Kouji; Matsuzaki, Masayuki; Kouno, Hiroaki; Yahiro, Masanobu.
In: Central European Journal of Physics, Vol. 6, No. 1, 01.03.2008, p. 116-121.Research output: Contribution to journal › Article
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TY - JOUR
T1 - Meson loop effect on high density chiral phase transition
AU - Sakaguchi, Tomohiko
AU - Kashiwa, Kouji
AU - Matsuzaki, Masayuki
AU - Kouno, Hiroaki
AU - Yahiro, Masanobu
PY - 2008/3/1
Y1 - 2008/3/1
N2 - We test the stability of the mean field solution in the Nambu-Jona-Lasinio model in a semi-quantitative manner. For stable solutions with respect to both the σ and π directions, 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.
AB - We test the stability of the mean field solution in the Nambu-Jona-Lasinio model in a semi-quantitative manner. For stable solutions with respect to both the σ and π directions, 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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U2 - 10.2478/s11534-008-0006-4
DO - 10.2478/s11534-008-0006-4
M3 - Article
AN - SCOPUS:41849145647
VL - 6
SP - 116
EP - 121
JO - Open Physics
JF - Open Physics
SN - 1895-1082
IS - 1
ER -