Finite volume analysis of scattering theory in the scaling Potts model

Details Finite volume analysis of scattering theory in the scaling Potts model Finite volume analysis of scattering theory in the scaling Potts model

2011-12-21

arxiv.org/abs/1112.5165v1

Physics

Condensed Matter

Statistical Mechanics

17 pages, LaTeX2e file, 11 eps figures

Scientific paper

We perform a detailed investigation of the scaling Potts field theory using the truncated conformal space approach. The aim is to check the scattering theory obtained from the S matrix bootstrap, both in the paramagnetic and ferromagnetic phases. It turns out that the bootstrap S matrices explain the finite size spectrum perfectly well. This finding is relevant in the view of a recent controversy surrounding the scaling limit of the lattice Potts model. In the conclusions we discuss possible scenarios to resolve the conflict between the perturbed CFT picture and lattice results, but the whole issue remains enigmatic.

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