Abstract
We investigate the staircase model, introduced by Aliosha Zamolodchikov through an analytic continuation of the sinh-Gordon S-matrix to describe interpolating flows between minimal models of conformal field theory in two dimensions. Applying the form factor expansion and the c-theorem, we show that the resulting c-function has the same physical content as that found by Zamolodchikov from the thermodynamic Bethe Ansatz. This turns out to be a consequence of a nontrivial underlying mechanism, which leads to an interesting localisation pattern for the spectral integrals giving the multi-particle contributions. We demonstrate several aspects of this form factor relocalisation, which suggests a novel approach to the construction of form factors and spectral sums in integrable renormalisation group flows with non-diagonal scattering.
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Dorey, P., Siviour, G. & Takács, G. Form factor relocalisation and interpolating renormalisation group flows from the staircase model. J. High Energ. Phys. 2015, 54 (2015). https://doi.org/10.1007/JHEP03(2015)054
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DOI: https://doi.org/10.1007/JHEP03(2015)054