# Three dimensional finite temperature SU(3) gauge theory near the phase transition

Bialas P, Daniel L, Morel A, Petersson B (2013)

Nuclear Physics B 871(1): 111-126.

*Journal Article*|

*Published*|

*English*

No fulltext has been uploaded

Author

Abstract

We have measured the correlation function of Polyakov loops on the lattice in three dimensional SU(3) gauge theory near its finite temperature phase transition. Using a new and powerful application of finite size scaling, we furthermore extend the measurements of the critical couplings to considerably larger values of the lattice sizes, both in the temperature and space directions, than was investigated earlier in this theory. With the help of these measurements we perform a detailed finite size scaling analysis, showing that for the critical exponents of the two dimensional three state Potts model the mass and the susceptibility fall on unique scaling curves. This strongly supports the expectation that the gauge theory is in the same universality class. The Nambu-Goto string model on the other hand predicts that the exponent v has the mean field value, which is quite different from the value in the abovementioned Potts model. Using our values of the critical couplings we also determine the continuum limit of the value of the critical temperature in terms of the square root of the zero temperature string tension. This value is very near to the prediction of the Nambu-Goto string model in spite of the different critical behaviour. (C) 2013 Published by Elsevier B.V.

Publishing Year

ISSN

PUB-ID

### Cite this

Bialas P, Daniel L, Morel A, Petersson B. Three dimensional finite temperature SU(3) gauge theory near the phase transition.

*Nuclear Physics B*. 2013;871(1):111-126.Bialas, P., Daniel, L., Morel, A., & Petersson, B. (2013). Three dimensional finite temperature SU(3) gauge theory near the phase transition.

*Nuclear Physics B*,*871*(1), 111-126.Bialas, P., Daniel, L., Morel, A., and Petersson, B. (2013). Three dimensional finite temperature SU(3) gauge theory near the phase transition.

*Nuclear Physics B*871, 111-126.Bialas, P., et al., 2013. Three dimensional finite temperature SU(3) gauge theory near the phase transition.

*Nuclear Physics B*, 871(1), p 111-126.P. Bialas, et al., “Three dimensional finite temperature SU(3) gauge theory near the phase transition”,

*Nuclear Physics B*, vol. 871, 2013, pp. 111-126.Bialas, P., Daniel, L., Morel, A., Petersson, B.: Three dimensional finite temperature SU(3) gauge theory near the phase transition. Nuclear Physics B. 871, 111-126 (2013).

Bialas, P., Daniel, L., Morel, A., and Petersson, Bengt. “Three dimensional finite temperature SU(3) gauge theory near the phase transition”.

*Nuclear Physics B*871.1 (2013): 111-126.
This data publication is cited in the following publications:

This publication cites the following data publications:

### Export

0 Marked Publications### Web of Science

View record in Web of Science®### Sources

arXiv 1211.3304

Inspire 1202685