# Phase diagram at finite temperature and quark density in the strong coupling limit of lattice QCD for color SU(3)

## Abstract

We study the phase diagram of quark matter at finite temperature (T) and chemical potential ({mu}) in the strong coupling limit of lattice QCD for color SU(3). We derive an analytical expression of the effective free energy as a function of T and {mu}, including baryon effects. The finite temperature effects are evaluated by integrating over the temporal link variable exactly in the Polyakov gauge with an antiperiodic boundary condition for fermions. The obtained phase diagram shows the first and the second order phase transition at low and high temperatures, respectively, and those are separated by the tricritical point in the chiral limit. Baryon has effects to reduce the effective free energy and to extend the hadron phase to a larger {mu} direction at low temperatures.

- Authors:

- Division of Physics, Graduate School of Science, Hokkaido University, Sapporo 060-0810 (Japan)

- Publication Date:

- OSTI Identifier:
- 20933244

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physical Review. D, Particles Fields; Journal Volume: 75; Journal Issue: 1; Other Information: DOI: 10.1103/PhysRevD.75.014502; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; BARYONS; BOUNDARY CONDITIONS; CHIRALITY; COLOR MODEL; FREE ENERGY; PHASE DIAGRAMS; PHASE TRANSFORMATIONS; QUANTUM CHROMODYNAMICS; QUARK MATTER; QUARKS; STRONG-COUPLING MODEL; SU-3 GROUPS; TEMPERATURE DEPENDENCE

### Citation Formats

```
Kawamoto, N., Miura, K., Ohnishi, A., and Ohnuma, T..
```*Phase diagram at finite temperature and quark density in the strong coupling limit of lattice QCD for color SU(3)*. United States: N. p., 2007.
Web. doi:10.1103/PHYSREVD.75.014502.

```
Kawamoto, N., Miura, K., Ohnishi, A., & Ohnuma, T..
```*Phase diagram at finite temperature and quark density in the strong coupling limit of lattice QCD for color SU(3)*. United States. doi:10.1103/PHYSREVD.75.014502.

```
Kawamoto, N., Miura, K., Ohnishi, A., and Ohnuma, T.. Mon .
"Phase diagram at finite temperature and quark density in the strong coupling limit of lattice QCD for color SU(3)". United States.
doi:10.1103/PHYSREVD.75.014502.
```

```
@article{osti_20933244,
```

title = {Phase diagram at finite temperature and quark density in the strong coupling limit of lattice QCD for color SU(3)},

author = {Kawamoto, N. and Miura, K. and Ohnishi, A. and Ohnuma, T.},

abstractNote = {We study the phase diagram of quark matter at finite temperature (T) and chemical potential ({mu}) in the strong coupling limit of lattice QCD for color SU(3). We derive an analytical expression of the effective free energy as a function of T and {mu}, including baryon effects. The finite temperature effects are evaluated by integrating over the temporal link variable exactly in the Polyakov gauge with an antiperiodic boundary condition for fermions. The obtained phase diagram shows the first and the second order phase transition at low and high temperatures, respectively, and those are separated by the tricritical point in the chiral limit. Baryon has effects to reduce the effective free energy and to extend the hadron phase to a larger {mu} direction at low temperatures.},

doi = {10.1103/PHYSREVD.75.014502},

journal = {Physical Review. D, Particles Fields},

number = 1,

volume = 75,

place = {United States},

year = {Mon Jan 01 00:00:00 EST 2007},

month = {Mon Jan 01 00:00:00 EST 2007}

}