Average phase factor in the Polyakov-loop extended Nambu-Jona-Lasinio model

Journal Article · Mon Nov 01 00:00:00 EDT 2010 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.82.096007· OSTI ID:21503836

Sakai, Yuji; Sasaki, Takahiro; Yahiro, Masanobu ^[1]; Kouno, Hiroaki ^[2]

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1. Department of Physics, Graduate School of Sciences, Kyushu University, Fukuoka 812-8581 (Japan)
2. Department of Physics, Saga University, Saga 840-8502 (Japan)

The average phase factor <e{sup 2i{theta}>} of the QCD determinant is evaluated at the finite quark chemical potential ({mu}{sub q}) with the two-flavor version of the Polyakov-loop extended Nambu-Jona-Lasinio model with the scalar-type eight-quark interaction. For {mu}{sub q} larger than half the pion mass m{sub {pi}} at vacuum, <e{sup 2i{theta}>} is finite only when the Polyakov loop is larger than {approx}0.5, indicating that lattice QCD is feasible only in the deconfinement phase. A critical end point lies in the region of <e{sup 2i{theta}>}=0. The scalar-type eight-quark interaction makes it shorter a relative distance of the critical end point to the boundary of the region. For {mu}{sub q}<m{sub {pi}/}2, the Polyakov-loop extended Nambu-Jona-Lasinio model with dynamical mesonic fluctuations can reproduce lattice QCD data below the critical temperature.

• OSTI ID: 21503836
• Journal Information: Physical Review. D, Particles Fields, Vol. 82, Issue 9; Other Information: DOI: 10.1103/PhysRevD.82.096007; (c) 2010 American Institute of Physics; ISSN 0556-2821
• Country of Publication: United States
• Language: English

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