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arXiv:hep-lat/9407004 · Nuclear Physics B

Large energy cumulants in the 2D Potts model and their effects in finite size analysis

Tanmoy Bhattacharya A, R. Lacaze, A. Morel

Published Feb 1, 1995• 11 citations
arXivHTMLPDF
DOI
10.1016/0550-3213(94)00393-s

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We present a recursive method to calculate a large q expansion of the 2d q-states Potts model free energies based on the Fortuin-Kasteleyn representation of the model. With this procedure, we compute directly the ordered phase partition function up to order 10 in 1/sqrt{q}. The energy cumulants at the transition can be obtained with suitable resummation and come out large for q less or around 15. As a consequence, expansions of the free energies around the transition temperature are useless for not large enough values of q. In particular the pure phase specific heats are predicted to be much larger, at q < 15, than the values extracted from current finite size scaling analysis of extrema, whereas they agree very well with recent values extracted at the transition point.