Semi-classical scalar products in the generalised SU(2) model

Abstract

In these notes we review the field-theoretical approach to the computation of the scalar product of multi-magnon states in the Sutherland limit where the magnon rapidities condense into one or several macroscopic arrays. We formulate a systematic procedure for computing the 1/M expansion of the on-shell/off-shell scalar product of M-magnon states in the generalised integrable model with SU(2)-invariant rational R-matrix. The coefficients of the expansion are obtained as multiple contour integrals in the rapidity plane.

13 pages, 3 figures. Based on a talk delivered at the X. International Workshop "Lie Theory and Its Applications in Physics", (LT-10), Varna, Bulgaria, 17-23 June 2013