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

Dorey, Patrick; Siviour, Guy; Takács, Gábor

doi:10.1007/jhep03(2015)054

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

Dorey, Patrick; Siviour, Guy; Takács, Gábor

Authors

Professor Patrick Dorey p.e.dorey@durham.ac.uk
Professor

Guy Siviour

Gábor Takács

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.

Citation

Dorey, P., Siviour, G., & Takács, G. (2015). Form factor relocalisation and interpolating renormalisation group flows from the staircase model. Journal of High Energy Physics, 2015(3), Article 054. https://doi.org/10.1007/jhep03%282015%29054

Journal Article Type	Article
Acceptance Date	Feb 17, 2015
Online Publication Date	Mar 10, 2015
Publication Date	Mar 10, 2015
Deposit Date	May 7, 2015
Publicly Available Date	May 7, 2015
Journal	Journal of High Energy Physics
Print ISSN	1126-6708
Publisher	Scuola Internazionale Superiore di Studi Avanzati (SISSA)
Peer Reviewed	Peer Reviewed
Volume	2015
Issue	3
Article Number	054
DOI	https://doi.org/10.1007/jhep03%282015%29054
Keywords	Exact S-matrix, Integrable field theories.

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Copyright 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.