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

Yuji Sakai, Takahiro Sasaki, Hiroaki Kouno, Masanobu Yahiro

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Abstract

The average phase factor e2iθ of the QCD determinant is evaluated at the finite quark chemical potential (μq) with the two-flavor version of the Polyakov-loop extended Nambu-Jona-Lasinio model with the scalar-type eight-quark interaction. For μq larger than half the pion mass mπ at vacuum, e2iθ 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 end point lies in the region of e2iθ=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 μq<mπ/2, the Polyakov-loop extended Nambu-Jona-Lasinio model with dynamical mesonic fluctuations can reproduce lattice QCD data below the critical temperature.

Original languageEnglish
Article number096007
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume82
Issue number9
DOIs
Publication statusPublished - Nov 10 2010

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All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics
  • Physics and Astronomy (miscellaneous)

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