Large-$q$ expansion of the two-dimensional $q$-state Potts model by the finite lattice method

Details Large-$q$ expansion of the two-dimensional $q$-state Potts model by the finite lattice method Large-$q$ expansion of the two-dimensional $q$-state Potts model by the finite lattice method

1998-10-23

arxiv.org/abs/hep-lat/9810048v1

Nucl.Phys.Proc.Suppl. 73 (1999) 754-756

Physics

High Energy Physics

High Energy Physics - Lattice

LATTICE98(spin), 3 pages, LaTeX, 1 ps figures, tar-compress-

Scientific paper

10.1016/S0920-5632(99)85194-9

We have calculated the large-$q$ expansion for the energy and magnetization cumulants at the first order phase transition point in the two-dimensional $q$-state Potts model to the 21st or 23rd order in $1/\sqrt{q}$ using the finite lattice method. The obtained series allow us to give highly convergent estimates of the cumulants for $q>4$. The results confirm us the correctness of the conjecture by Bhattacharya {\em et al.} on the asymptotic behavior of the energy cumulants for $q \to 4_+$ and a similar new conjecture on the magnetization cumulants.

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