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arXiv · 1005.0993

Average phase factor in the PNJL model

Yuji Sakai·Takahiro Sasaki·Hiroaki Kouno·Masanobu Yahiro
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Abstract

The average phase factor of the QCD determinant is evaluated at finite quark chemical potential (μ_q) with the two-flavor version of the Polyakov-loop extended Nambu-Jona-Lasinio (PNJL) model with the scalar-type eight-quark interaction. For μ_q larger than half the pion mass at vacuum m_π, the average phase factor is finite only when the Polyakov loop is larger than 0.5, indicating that lattice QCD is feasible only in the deconfinement phase. A critical endpoint (CEP) lies in the region of the zero average phase factor. The scalar-type eight-quark interaction makes it shorter a relative distance of the CEP to the boundary of the region. For μ_q < m_π/2, the PNJL model with dynamical mesonic fluctuations can reproduce lattice QCD data below the critical temperature.

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Yuji Sakai, Takahiro Sasaki, Hiroaki Kouno, Masanobu Yahiro. 2010-05-06. Average phase factor in the PNJL model. https://doi.org/10.1103/physrevd.82.096007

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