A 3-dimensional Z3 symmetric model: Correlation lengths at a first order phase transition

Gupta, Sourendu; Irbäck, A.; Petersson, B.; Gavai, R.V.; Karsch, F.

doi:10.1016/0920-5632(90)90237-O

A 3-dimensional Z3 symmetric model: Correlation lengths at a first order phase transition

1990

5 pages

Part of Lattice 89. Proceedings, Symposium on Lattice Field Theory, Capri, Italy, Sep 18-21, 1989, 199-203

Published in:

Nucl.Phys.B Proc.Suppl. 17 (1990) 199-203

Contribution to:

Lattice 89 Capri: The 1989 Symposium on Lattice Field Theory, 199-203

DOI:

10.1016/0920-5632(90)90237-O

Report number:

BI-TP-89-38

reference search2 citations

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Abstract: (submitter)

We present a high statistics Monte Carlo investigation of a 3-dimensional Z3 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.

References(11)

Figures(0)

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