# Nonlocal Ployakov-Nambu-Jona-Lasinio model and imaginary chemical potential

## Abstract

With the aim of setting constraints for the modeling of the QCD phase diagram, the phase structure of the two-flavor Polyakov-loop-extended Nambu and Jona-Lasinio (PNJL) model is investigated in the range of imaginary chemical potentials ({mu}{sub I}) and compared with available N{sub f} = 2 lattice QCD results. The calculations are performed using the advanced nonlocal version of the PNJL model with the inclusion of vector-type quasiparticle interactions between quarks, and with wave-function-renormalization corrections. It is demonstrated that the nonlocal PNJL model reproduces important features of QCD at finite {mu}{sub I}, such as the Roberge-Weiss (RW) periodicity and the RW transition. Chiral and deconfinement transition temperatures for N{sub f} = 2 turn out to coincide both at zero chemical potential and at finite {mu}{sub I}. Detailed studies are performed concerning the RW endpoint and its neighborhood where a first-order transition occurs.

- Authors:

- Publication Date:

- Research Org.:
- Brookhaven National Laboratory (BNL) Riken BNL Research Center

- Sponsoring Org.:
- RIKEN

- OSTI Identifier:
- 1043349

- Report Number(s):
- BNL-96600-2011-JA

Journal ID: ISSN 1550-7998; TRN: US1203107

- DOE Contract Number:
- DE-AC02-98CH10886

- Resource Type:
- Journal Article

- Journal Name:
- Physical Review. D, Particles, Fields, Gravitation and Cosmology

- Additional Journal Information:
- Journal Volume: 84; Journal Issue: 5; Journal ID: ISSN 1550-7998

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; PERIODICITY; PHASE DIAGRAMS; QUANTUM CHROMODYNAMICS; QUARKS; SIMULATION; TRANSITION TEMPERATURE; nonlocal polyakov nambu jona lasinio; riken bnl research center

### Citation Formats

```
Kashiwa K., Hell, T., and Weise, W.
```*Nonlocal Ployakov-Nambu-Jona-Lasinio model and imaginary chemical potential*. United States: N. p., 2011.
Web. doi:10.1103/PhysRevD.84.056010.

```
Kashiwa K., Hell, T., & Weise, W.
```*Nonlocal Ployakov-Nambu-Jona-Lasinio model and imaginary chemical potential*. United States. doi:10.1103/PhysRevD.84.056010.

```
Kashiwa K., Hell, T., and Weise, W. Wed .
"Nonlocal Ployakov-Nambu-Jona-Lasinio model and imaginary chemical potential". United States. doi:10.1103/PhysRevD.84.056010.
```

```
@article{osti_1043349,
```

title = {Nonlocal Ployakov-Nambu-Jona-Lasinio model and imaginary chemical potential},

author = {Kashiwa K. and Hell, T. and Weise, W.},

abstractNote = {With the aim of setting constraints for the modeling of the QCD phase diagram, the phase structure of the two-flavor Polyakov-loop-extended Nambu and Jona-Lasinio (PNJL) model is investigated in the range of imaginary chemical potentials ({mu}{sub I}) and compared with available N{sub f} = 2 lattice QCD results. The calculations are performed using the advanced nonlocal version of the PNJL model with the inclusion of vector-type quasiparticle interactions between quarks, and with wave-function-renormalization corrections. It is demonstrated that the nonlocal PNJL model reproduces important features of QCD at finite {mu}{sub I}, such as the Roberge-Weiss (RW) periodicity and the RW transition. Chiral and deconfinement transition temperatures for N{sub f} = 2 turn out to coincide both at zero chemical potential and at finite {mu}{sub I}. Detailed studies are performed concerning the RW endpoint and its neighborhood where a first-order transition occurs.},

doi = {10.1103/PhysRevD.84.056010},

journal = {Physical Review. D, Particles, Fields, Gravitation and Cosmology},

issn = {1550-7998},

number = 5,

volume = 84,

place = {United States},

year = {2011},

month = {9}

}