# The correlation lengths and the order of the phase transition in three-dimensional Z 3 symmetric models

Gupta S, Irbäck A, Petersson B, Gavai RV, Karsch F (1990)

Nuclear Physics, B 329(1): 263-284.

Download

*Journal Article*|

*Published*|

*English*

Author

Abstract

We present a high statistics Monte Carlo investigation of three-dimensional Z 3 symmetric models, which are related to SU(3) pure gauge theory at finite temperature. From the finite size scaling behaviour of bulk properties and the existence of metastable states, we conclude that these models exhibit a first-order phase transition. We have also performed detailed correlation length measurements in a cylindrical geometry with periodic boundary conditions as well as with a cold wall in the longitudinal direction. The correlation length, which appears to be independent of the boundary conditions, becomes very large near the critical point. Nonetheless, our data suggest that the correlation length developes a discontinuity at the critical point in the infinite volume limit.

Publishing Year

ISSN

PUB-ID

### Cite this

Gupta S, Irbäck A, Petersson B, Gavai RV, Karsch F. The correlation lengths and the order of the phase transition in three-dimensional Z 3 symmetric models.

*Nuclear Physics, B*. 1990;329(1):263-284.Gupta, S., Irbäck, A., Petersson, B., Gavai, R. V., & Karsch, F. (1990). The correlation lengths and the order of the phase transition in three-dimensional Z 3 symmetric models.

*Nuclear Physics, B*,*329*(1), 263-284.Gupta, S., Irbäck, A., Petersson, B., Gavai, R. V., and Karsch, F. (1990). The correlation lengths and the order of the phase transition in three-dimensional Z 3 symmetric models.

*Nuclear Physics, B*329, 263-284.Gupta, S., et al., 1990. The correlation lengths and the order of the phase transition in three-dimensional Z 3 symmetric models.

*Nuclear Physics, B*, 329(1), p 263-284.S. Gupta, et al., “The correlation lengths and the order of the phase transition in three-dimensional Z 3 symmetric models”,

*Nuclear Physics, B*, vol. 329, 1990, pp. 263-284.Gupta, S., Irbäck, A., Petersson, B., Gavai, R.V., Karsch, F.: The correlation lengths and the order of the phase transition in three-dimensional Z 3 symmetric models. Nuclear Physics, B. 329, 263-284 (1990).

Gupta, Sourendu, Irbäck, A., Petersson, Bengt, Gavai, R. V., and Karsch, Frithjof. “The correlation lengths and the order of the phase transition in three-dimensional Z 3 symmetric models”.

*Nuclear Physics, B*329.1 (1990): 263-284.
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

Inspire 277705