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arXiv · 1412.8442

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

Patrick Dorey·Guy Siviour·Gabor Takacs
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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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Patrick Dorey, Guy Siviour, Gabor Takacs. 2014-12-29. Form factor relocalisation and interpolating renormalisation group flows from the staircase model. https://doi.org/10.1007/jhep03(2015)054

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