Large-q expansion of the energy cumulants for the two-dimensional q-state Potts model

Details Large-q expansion of the energy cumulants for the two-dimensional q-state Potts model Large-q expansion of the energy cumulants for the two-dimensional q-state Potts model

1998-10-14

arxiv.org/abs/hep-lat/9810029v1

Physics

High Energy Physics

High Energy Physics - Lattice

31 pages, LaTeX, 18 postscript figures

Scientific paper

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

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