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

Gupta, Sourendu ; Irbäck, A. LU orcid ; Petersson, B. ; Gavai, R. V. and Karsch, F. (1990) In Nuclear Physics, Section B 329(1). p.263-284
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.... (More)

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.

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author
; ; ; and
publishing date
type
Contribution to journal
publication status
published
subject
in
Nuclear Physics, Section B
volume
329
issue
1
pages
22 pages
publisher
North-Holland
external identifiers
  • scopus:0001553792
ISSN
0550-3213
DOI
10.1016/0550-3213(90)90068-O
language
English
LU publication?
no
id
d746a3ff-86eb-4200-be3b-2c613d76824e
date added to LUP
2019-05-14 15:11:45
date last changed
2021-01-03 03:38:18
@article{d746a3ff-86eb-4200-be3b-2c613d76824e,
  abstract     = {{<p>                            We present a high statistics Monte Carlo investigation of three-dimensional Z                            <sub>3</sub>                             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.</p>}},
  author       = {{Gupta, Sourendu and Irbäck, A. and Petersson, B. and Gavai, R. V. and Karsch, F.}},
  issn         = {{0550-3213}},
  language     = {{eng}},
  month        = {{01}},
  number       = {{1}},
  pages        = {{263--284}},
  publisher    = {{North-Holland}},
  series       = {{Nuclear Physics, Section B}},
  title        = {{The correlation lengths and the order of the phase transition in three-dimensional Z
                        <sub>3</sub>
                         symmetric models}},
  url          = {{http://dx.doi.org/10.1016/0550-3213(90)90068-O}},
  doi          = {{10.1016/0550-3213(90)90068-O}},
  volume       = {{329}},
  year         = {{1990}},
}