Form factor relocalisation and interpolating renormalisation group flows from the staircase model

Dorey, Patrick and Siviour, Guy and Takács, Gábor (2015) Form factor relocalisation and interpolating renormalisation group flows from the staircase model. JOURNAL OF HIGH ENERGY PHYSICS, 2015 (3). ISSN 1126-6708

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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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