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

Ivan Kostov (1)

1 IPHT - Institut de Physique Théorique - UMR CNRS 3681

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.

Domaines: Physique des Hautes Energies - Théorie [hep-th]; Physique mathématique [math-ph]

Ivan Kostov. Semi-classical scalar products in the generalised $SU$(2) model. Dobrev V. Lie Theory and Its Applications in Physics, 111, Springer, 2014, pp.87-103, 2014, Springer Proceedings in Mathematics & Statistics, Print ISBN: 978-4-431-55284-0. ⟨10.1007/978-4-431-55285-7_7⟩. ⟨cea-01037980⟩