# THERMODYNAMICS AND HEAVY-QUARK FREE ENERGIES AT FINITE TEMPERATURE AND DENSITY WITH TWO FLAVORS OF IMPROVED WILSON QUARKS.

## Abstract

Thermodynamics of two-flavor QCD at finite temperature and density is studied on a 16{sup 3} x 4 lattice, using a renormalization group improved gauge action and the clover improved Wilson quark action. In the simulations along lines of constant m{sub PS}/m{sub V}, we calculate the Taylor expansion coefficients of the heavy-quark free energy with respect to the quark chemical potential ({mu}{sub q}) up to the second order. By comparing the expansion coefficients of the free energies between quark(Q) and antiquark({anti Q}), and between Q and Q, we find a characteristic difference at finite {mu}{sub q} due to the first order coefficient of the Taylor expansion. We also calculate the quark number and isospin susceptibilities, and find that the second order coefficient of the quark number susceptibility shows enhancement around the pseudo-critical temperature.

- Authors:

- Publication Date:

- Research Org.:
- Brookhaven National Lab. (BNL), Upton, NY (United States)

- Sponsoring Org.:
- Doe - Office Of Science

- OSTI Identifier:
- 920316

- Report Number(s):
- BNL-79464-2007-CP

R&D Project: 02793; KB0301052; TRN: US0805677

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

- Resource Type:
- Conference

- Resource Relation:
- Conference: XXV INTERNATIONAL SYMPOSIUM ON LATTICE FIELD THEORY; REGENSBURG, GERMANY; 20070730 through 20070804

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; CLOVER; FREE ENERGY; ISOSPIN; LATTICE FIELD THEORY; QUANTUM CHROMODYNAMICS; QUARKS; RENORMALIZATION; THERMODYNAMICS

### Citation Formats

```
MAEZAWA, Y, HATSUDA, T, AOKI, S, KANAYA, K, EJIRI, S, ISHII, N, UKITA, N, and UMEDA, T.
```*THERMODYNAMICS AND HEAVY-QUARK FREE ENERGIES AT FINITE TEMPERATURE AND DENSITY WITH TWO FLAVORS OF IMPROVED WILSON QUARKS.*. United States: N. p., 2007.
Web.

```
MAEZAWA, Y, HATSUDA, T, AOKI, S, KANAYA, K, EJIRI, S, ISHII, N, UKITA, N, & UMEDA, T.
```*THERMODYNAMICS AND HEAVY-QUARK FREE ENERGIES AT FINITE TEMPERATURE AND DENSITY WITH TWO FLAVORS OF IMPROVED WILSON QUARKS.*. United States.

```
MAEZAWA, Y, HATSUDA, T, AOKI, S, KANAYA, K, EJIRI, S, ISHII, N, UKITA, N, and UMEDA, T. Mon .
"THERMODYNAMICS AND HEAVY-QUARK FREE ENERGIES AT FINITE TEMPERATURE AND DENSITY WITH TWO FLAVORS OF IMPROVED WILSON QUARKS.". United States. https://www.osti.gov/servlets/purl/920316.
```

```
@article{osti_920316,
```

title = {THERMODYNAMICS AND HEAVY-QUARK FREE ENERGIES AT FINITE TEMPERATURE AND DENSITY WITH TWO FLAVORS OF IMPROVED WILSON QUARKS.},

author = {MAEZAWA, Y and HATSUDA, T and AOKI, S and KANAYA, K and EJIRI, S and ISHII, N and UKITA, N and UMEDA, T},

abstractNote = {Thermodynamics of two-flavor QCD at finite temperature and density is studied on a 16{sup 3} x 4 lattice, using a renormalization group improved gauge action and the clover improved Wilson quark action. In the simulations along lines of constant m{sub PS}/m{sub V}, we calculate the Taylor expansion coefficients of the heavy-quark free energy with respect to the quark chemical potential ({mu}{sub q}) up to the second order. By comparing the expansion coefficients of the free energies between quark(Q) and antiquark({anti Q}), and between Q and Q, we find a characteristic difference at finite {mu}{sub q} due to the first order coefficient of the Taylor expansion. We also calculate the quark number and isospin susceptibilities, and find that the second order coefficient of the quark number susceptibility shows enhancement around the pseudo-critical temperature.},

doi = {},

url = {https://www.osti.gov/biblio/920316},
journal = {},

number = ,

volume = ,

place = {United States},

year = {2007},

month = {7}

}