Quark-gluon thermodynamics with the Z Ncsymmetry

Hiroaki Kouno, Yuji Sakai, Takahiro Makiyama, Kouhei Tokunaga, Takahiro Sasaki, Masanobu Yahiro

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34 Citations (Scopus)


We investigate quarkgluon thermodynamics with the Z Nc symmetry. The flavor-dependent twist boundary condition (TBC) is imposed on N c degenerate flavor quarks in the SU(N c) gauge theory. This model is useful to understand the mechanism of color confinement. Thermodynamics of this quarkgluon system is studied by imposing the TBC on the Polyakov-loop extended NambuJona Lasinio (PNJL)model. The TBC model is applied to two- and three-color cases. The Z Nc symmetry is preserved below some temperature T c, but spontaneously broken above T c. The color confinement belowT c preserves the flavor symmetry. Above T c, the flavor symmetry is broken, but the breaking is suppressed by the entanglement between the Polyakov loop and the chiral condensate. Particularly at low temperature, dynamics of the TBC model is similar to that of the PNJL model with the standard fermion boundary condition, indicating that the Z Nc symmetry is a good approximate concept in the latter model even if the current quark mass is small. The present prediction can be tested in future by lattice QCD, since the quarkgluon dynamics with a flavor-dependent imaginary chemical potential has no sign problem.

Original languageEnglish
Article number085010
JournalJournal of Physics G: Nuclear and Particle Physics
Issue number8
Publication statusPublished - Aug 2012

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics


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