On the scaling behaviour of the alternating spin chain
High Energy Physics - Theory
2020-10-22 v2 Statistical Mechanics
Mathematical Physics
math.MP
Abstract
In this note we report the results of our study of a 1D integrable spin chain whose critical behaviour is governed by a CFT possessing a continuous spectrum of scaling dimensions. It is argued that the computation of the density of Bethe states of the continuous theory can be reduced to the calculation of the connection coefficients for a certain class of differential equations whose monodromy properties are similar to those of the conventional confluent hypergeometric equation. The finite size corrections to the scaling are also discussed.
Keywords
Cite
@article{arxiv.1903.05033,
title = {On the scaling behaviour of the alternating spin chain},
author = {Vladimir V. Bazhanov and Gleb A. Kotousov and Sergii M. Koval and Sergei L. Lukyanov},
journal= {arXiv preprint arXiv:1903.05033},
year = {2020}
}
Comments
30 pages, 14 figures, v2: published version + misprints corrected