# QCD phase diagram at imaginary baryon and isospin chemical potentials

@article{Sakai2009QCDPD, title={QCD phase diagram at imaginary baryon and isospin chemical potentials}, author={Yūji Sakai and Hiroaki Kouno and Masanobu Yahiro}, journal={Journal of Physics G}, year={2009}, volume={37}, pages={105007} }

We explore the phase diagram of two-flavor quantum chromodynamics (QCD) at imaginary values of baryon and isospin chemical potentials, μB and μiso, analyzing the thermodynamic potential of QCD analytically and that of the Polyakov-loop extended Nambu–Jona-Lasinio (PNJL) model numerically. QCD has no pion condensation at imaginary μB and μiso, and therefore has discrete symmetries that are not present at real μB and μiso. The PNJL model possesses all the discrete symmetries. It can reproduce…

## 13 Citations

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## References

SHOWING 1-10 OF 66 REFERENCES

### Phases of QCD: lattice thermodynamics and a field theoretical model

- Physics
- 2006

We investigate three-color QCD thermodynamics at finite quark chemical potential. Lattice QCD results are compared with a generalized Nambu Jona-Lasinio model in which quarks couple simultaneously to…

### Determination of QCD phase diagram from the imaginary chemical potential (熱場の量子論とその応用)

- Physics
- 2009

We test the reliability of the Polyakov-loop extended Nambu-Jona-Lasinio (PNJL) model, comparing the model result with the lattice data at nonzero imaginary chemical potential. The PNJL model with…

### QCD at finite isospin density.

- PhysicsPhysical review letters
- 2001

The results imply a nontrivial phase diagram in the space of temperature and chemical potentials of isospin and baryon number, which leads to conjecture that the transition from hadron to quark matter is smooth, which passes several tests.

### MESONIC CORRELATION FUNCTIONS AT FINITE TEMPERATURE AND DENSITY IN THE NAMBU–JONA–LASINIO MODEL WITH A POLYAKOV LOOP

- Physics
- 2007

We investigate the properties of scalar and pseudo-scalar mesons at finite temperature and quark chemical potential in the framework of the Nambu–Jona-Lasinio (NJL) model coupled to the Polyakov loop…

### Phase structure of the Polyakov-quark-meson model

- Physics
- 2007

The relation between the deconfinement and chiral phase transition is explored in the framework of a Polyakov-loop-extended two-flavor quark-meson (PQM) model. In this model the Polyakov loop…

### Phase diagrams in the three-flavor Nambu-Jona-Lasinio model with the Polyakov loop

- Physics
- 2008

We present extensive studies on hot and dense quark matter with two light and one heavy flavors in the Nambu-Jona-Lasinio model with the Polyakov loop (so-called PNJL model). First we discuss…

### Polyakov loop in chiral quark models at finite temperature

- PhysicsPhysical Review D
- 2006

We describe results for the confinement‐deconfinement phase transition as predicted by the Nambu‐Jona‐Lasinio model where the local and quantum Polyakov loop is coupled to the constituent quarks in a…