A Study of the Correlation Length Near a First Order Phase Transition: The 3- Three State Potts Model
Nov, 198821 pages
Published in:
- Nucl.Phys.B 322 (1989) 738-758
- Published: 1989
Report number:
- CERN-TH-5221/88
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Abstract: (Elsevier)
A high statistics study of the 3-d three-state Potts model on lattices of size L 3 , with L ranging from 12 to 48, confirms the first-order nature of the Z(3) symmetry breaking phase transition in this model. We investigate the behaviour of spin-spin correlations in the critical region, comment on various methods to extract the correlation lengths and point out the resulting ambiguities on finite lattices. Our results indicate a finite correlation length at β c . However, a careful analysis of the correlation functions is necessary to disentangle the inverse mass gap from the tunnelling correlation length which we found to diverge as L at β c although the transition is clearly first order.- MODEL: POTTS
- STATISTICAL MECHANICS: CRITICAL PHENOMENA
- LATTICE FIELD THEORY: THREE-DIMENSIONAL
- SYMMETRY BREAKING: Z(3)
- SPIN: CORRELATION
- CORRELATION: SPIN
- CORRELATION: LENGTH
- GAUGE FIELD THEORY: SU(3)
- NUMERICAL CALCULATIONS: MONTE CARLO
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