The Field Theory of the q->4+ Potts Model

Details The Field Theory of the q->4+ Potts Model The Field Theory of the q->4+ Potts Model

2000-02-15

arxiv.org/abs/hep-th/0002122v1

Phys.Lett. B483 (2000) 303-308

Physics

High Energy Physics

High Energy Physics - Theory

8 pages, 1 figure; latex

Scientific paper

10.1016/S0370-2693(00)00548-7

The q-state Potts model in two dimensions exhibits a first-order transition for q>4. As q->4+ the correlation length at this transition diverges. We argue that this limit defines a massive integrable quantum field theory whose lowest excitations are kinks connecting 4+1 degenerate ground states. We construct the S-matrix of this theory and the two-particle form factors, and hence estimate a number of universal amplitude ratios. These are in very good agreement with the results of extrapolated series in q^(-1/2) as well as Monte Carlo results for q=5.

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