TY - JOUR
T1 - Investigation of meson masses for real and imaginary chemical potential using the three-flavor PNJL model
AU - Matsumoto, Takeshi
AU - Kashiwa, Kouji
AU - Kouno, Hiroaki
AU - Oda, Kagayaki
AU - Yahiro, Masanobu
N1 - Funding Information:
The authors thank Dr. H. Kohyama for useful discussion. K.K. is supported by the Japan Society for the Promotion of Science for Young Scientists .
PY - 2011/1/3
Y1 - 2011/1/3
N2 - We investigate chemical-potential (μ) and temperature (T) dependence of scalar and pseudo-scalar meson masses for both real and imaginary μ, using the Polyakov-loop extended Nambu-Jona-Lasinio (PNJL) model with three-flavor quarks. A three-flavor phase diagram is drawn in μ2-T plane where positive (negative) μ2 corresponds to positive (imaginary) μ. A critical surface is plotted as a function of light- and strange-quark current mass and μ2. We show that μ-dependence of the six-quark Kobayashi-Maskawa-'t Hooft (KMT) determinant interaction originated in UA(1) anomaly can be determined from lattice QCD data on η' meson mass around μ=0 and μ=iπT/3 with T slightly above the critical temperature at μ=0 where the chiral symmetry is restored at μ=0 but broken at μ=iπT/3, if it is measured in future.
AB - We investigate chemical-potential (μ) and temperature (T) dependence of scalar and pseudo-scalar meson masses for both real and imaginary μ, using the Polyakov-loop extended Nambu-Jona-Lasinio (PNJL) model with three-flavor quarks. A three-flavor phase diagram is drawn in μ2-T plane where positive (negative) μ2 corresponds to positive (imaginary) μ. A critical surface is plotted as a function of light- and strange-quark current mass and μ2. We show that μ-dependence of the six-quark Kobayashi-Maskawa-'t Hooft (KMT) determinant interaction originated in UA(1) anomaly can be determined from lattice QCD data on η' meson mass around μ=0 and μ=iπT/3 with T slightly above the critical temperature at μ=0 where the chiral symmetry is restored at μ=0 but broken at μ=iπT/3, if it is measured in future.
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U2 - 10.1016/j.physletb.2010.09.070
DO - 10.1016/j.physletb.2010.09.070
M3 - Article
AN - SCOPUS:78650304988
SN - 0370-2693
VL - 694
SP - 367
EP - 373
JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
IS - 4-5
ER -