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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). p. 54.

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.

Item Type:Article
Keywords:Exact S-matrix, Integrable field theories.
Full text:(VoR) Version of Record
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Status:Peer-reviewed
Publisher Web site:http://dx.doi.org/10.1007/JHEP03(2015)054
Publisher statement:Open Access, © The Authors. Article funded by SCOAP3. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
Date accepted:17 February 2015
Date deposited:07 May 2015
Date of first online publication:10 March 2015
Date first made open access:No date available

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