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A 3-dimensional Z 3 symmetric model : Correlation lengths at a first order phase transition

Gupta, Sourendu ; Irbäck, A. LU orcid ; Petersson, B. ; Gavai, R. V. and Karsch, F. (1990) In Nuclear Physics B (Proceedings Supplements) 17. p.199-203
Abstract


We present a high statistics Monte Carlo investigation of a 3-dimensional Z
3
symmetric model, which is 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 this model exhibits 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 cold walls in the longitudinal direction. The correlation length, which appears to be independent of the boundary conditions, becomes very large near the critical... (More)


We present a high statistics Monte Carlo investigation of a 3-dimensional Z
3
symmetric model, which is 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 this model exhibits 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 cold walls 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 develops a discontinuity at the critical point in the infinite volume limit.

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Please use this url to cite or link to this publication:
author
; ; ; and
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
host publication
Nuclear Physics B (Proc. Suppl.)
series title
Nuclear Physics B (Proceedings Supplements)
volume
17
pages
5 pages
external identifiers
  • scopus:44949286919
ISSN
0920-5632
DOI
10.1016/0920-5632(90)90237-O
language
English
LU publication?
no
id
bae4be83-af81-46bb-9aa2-910879884512
date added to LUP
2019-05-14 15:10:38
date last changed
2021-01-03 04:16:21
@inproceedings{bae4be83-af81-46bb-9aa2-910879884512,
  abstract     = {{<p><br>
                            We present a high statistics Monte Carlo investigation of a 3-dimensional Z<br>
                            <sub>3</sub><br>
                             symmetric model, which is 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 this model exhibits 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 cold walls 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 develops 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.}},
  booktitle    = {{Nuclear Physics B (Proc. Suppl.)}},
  issn         = {{0920-5632}},
  language     = {{eng}},
  month        = {{01}},
  pages        = {{199--203}},
  series       = {{Nuclear Physics B (Proceedings Supplements)}},
  title        = {{A 3-dimensional Z
                        <sub>3</sub>
                         symmetric model : Correlation lengths at a first order phase transition}},
  url          = {{http://dx.doi.org/10.1016/0920-5632(90)90237-O}},
  doi          = {{10.1016/0920-5632(90)90237-O}},
  volume       = {{17}},
  year         = {{1990}},
}