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

Dorey, Patrick; Siviour, Guy; Takács, Gábor

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.