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Theoretical and Mathematical Physics

Generating function for scalar products in the algebraic Bethe ansatz

N. A. Slavnov

Published Sep 1, 2020• 1 citation
Publisher

Abstract

Abstract We construct a family of determinant representations for scalar products of Bethe vectors in models with $$ \mathfrak{gl} (3)$$ symmetry. This family is defined by a single generating function containing arbitrary complex parameters but is independent of their specific values. Choosing these parameters in different ways, we can obtain different determinant representations.

DOI
10.1134/s004057792009010x

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