Investigation of meson masses for real and imaginary chemical potential using the three-flavor PNJL model

Takeshi Matsumoto, Kouji Kashiwa, Hiroaki Kouno, Kagayaki Oda, Masanobu Yahiro

Research output: Contribution to journalArticle

12 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)367-373
Number of pages7
JournalPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume694
Issue number4-5
DOIs
Publication statusPublished - Jan 3 2011

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mesons
quarks
scalars
determinants
critical temperature
quantum chromodynamics
phase diagrams
anomalies
symmetry
interactions
temperature

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics

Cite this

Investigation of meson masses for real and imaginary chemical potential using the three-flavor PNJL model. / Matsumoto, Takeshi; Kashiwa, Kouji; Kouno, Hiroaki; Oda, Kagayaki; Yahiro, Masanobu.

In: Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, Vol. 694, No. 4-5, 03.01.2011, p. 367-373.

Research output: Contribution to journalArticle

Matsumoto, Takeshi ; Kashiwa, Kouji ; Kouno, Hiroaki ; Oda, Kagayaki ; Yahiro, Masanobu. / Investigation of meson masses for real and imaginary chemical potential using the three-flavor PNJL model. In: Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics. 2011 ; Vol. 694, No. 4-5. pp. 367-373.
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