# Equation of State for the SU(3) Gauge Theory

## Abstract

By investigating the SU(3) gauge theory thermodynamics on lattices of various sizes we can control finite lattice cutoff effects. We calculate the pressure and energy density on lattices with temporal extent {ital N}{sub {tau}}=4, 6, and 8 and spatial extent {ital N}{sub {sigma}}=16 and 32, and extrapolate to the continuum limit. We find a deviation from ideal gas behavior of (15--20)%, even at temperatures as high as {ital T}{similar_to}3{ital T}{sub {ital c}}. A calculation of the critical temperature for {ital N}{sub {tau}}=8 and 12 and the string tension for {ital N}{sub {tau}}=32 is performed to fix the temperature scale, yielding {ital T}{sub {ital c}}/{radical}{sigma}=0.629(3) in the continuum limit. {copyright} {ital 1995} {ital The} {ital American} {ital Physical} {ital Society}.

- Authors:

- Fakultaet fuer Physik, Universitaet Bielefeld, D-33615 Bielefeld (Germany)

- Publication Date:

- OSTI Identifier:
- 147886

- Resource Type:
- Journal Article

- Journal Name:
- Physical Review Letters

- Additional Journal Information:
- Journal Volume: 75; Journal Issue: 23; Other Information: PBD: 4 Dec 1995

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 66 PHYSICS; UNIFIED GAUGE MODELS; EQUATIONS OF STATE; SU-3 GROUPS; CRITICAL TEMPERATURE; GLUONS; LATTICE FIELD THEORY; PERTURBATION THEORY; QUANTUM CHROMODYNAMICS; THERMODYNAMICS

### Citation Formats

```
Boyd, G., Engels, J., Karsch, F., Laermann, E., Legeland, C., Luetgemeier, M., and Petersson, B.
```*Equation of State for the SU(3) Gauge Theory*. United States: N. p., 1995.
Web. doi:10.1103/PhysRevLett.75.4169.

```
Boyd, G., Engels, J., Karsch, F., Laermann, E., Legeland, C., Luetgemeier, M., & Petersson, B.
```*Equation of State for the SU(3) Gauge Theory*. United States. doi:10.1103/PhysRevLett.75.4169.

```
Boyd, G., Engels, J., Karsch, F., Laermann, E., Legeland, C., Luetgemeier, M., and Petersson, B. Mon .
"Equation of State for the SU(3) Gauge Theory". United States. doi:10.1103/PhysRevLett.75.4169.
```

```
@article{osti_147886,
```

title = {Equation of State for the SU(3) Gauge Theory},

author = {Boyd, G. and Engels, J. and Karsch, F. and Laermann, E. and Legeland, C. and Luetgemeier, M. and Petersson, B.},

abstractNote = {By investigating the SU(3) gauge theory thermodynamics on lattices of various sizes we can control finite lattice cutoff effects. We calculate the pressure and energy density on lattices with temporal extent {ital N}{sub {tau}}=4, 6, and 8 and spatial extent {ital N}{sub {sigma}}=16 and 32, and extrapolate to the continuum limit. We find a deviation from ideal gas behavior of (15--20)%, even at temperatures as high as {ital T}{similar_to}3{ital T}{sub {ital c}}. A calculation of the critical temperature for {ital N}{sub {tau}}=8 and 12 and the string tension for {ital N}{sub {tau}}=32 is performed to fix the temperature scale, yielding {ital T}{sub {ital c}}/{radical}{sigma}=0.629(3) in the continuum limit. {copyright} {ital 1995} {ital The} {ital American} {ital Physical} {ital Society}.},

doi = {10.1103/PhysRevLett.75.4169},

journal = {Physical Review Letters},

number = 23,

volume = 75,

place = {United States},

year = {1995},

month = {12}

}