# 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.
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https://hal-cea.archives-ouvertes.fr/cea-01037980
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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⟩

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