Large-q expansion of the correlation length in the two-dimensional q-state Potts model

Details Large-q expansion of the correlation length in the two-dimensional q-state Potts model Large-q expansion of the correlation length in the two-dimensional q-state Potts model

1999-09-29

arxiv.org/abs/hep-lat/9909166v1

Nucl.Phys.Proc.Suppl. 83 (2000) 679-681

Physics

High Energy Physics

High Energy Physics - Lattice

3 pages, LaTeX, 2 figures, Talk presented at LATTICE99(spin models), Pisa, 29 June - 3 July 1999, to appear in Nucl. Phys. B (

Scientific paper

The large-q expansions of the exponential correlation length and the second moment correlation length for the q-state Potts model in two dimensions are calculated at the first order phase transition point both in the ordered and disordered phases. The expansion coefficients in the ordered and disordered phases coincide in lower orders for both of the two types of the correlation lengths, but they differ a little from each other in higher orders for the second moment correlation length. The second largest eigenvalues of the transfer matrix have the continuum spectrum both in the ordered and disordered phases in the large-q region, which is suggested to be maintained even in the limit of $q\to 4$ from the analysis of the expansion series.

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