Work

On form factors in nested Bethe Ansatz systems

Year: 2012
Type: article
Abstract: We investigate form factors of local operators in the multi-component Quantum Non-linear Schrödinger model, a prototype theory solvable by the so-called nested Bethe Ansatz. We determine the analytic properties of the infinite volume form factors using the coordinate Bethe Ansatz solution and we establish a connection with the finite volume matrix elements. In the two-component models we derive a set of recursion relations for the "magnonic form factors", which are the matrix elements on the nested Bethe Ansatz states. In certain simple cases (involving states with only one spin-impurity) we obtain explicit solutions for the recursion relations.
Authors: Balázs Pozsgay, Willem-Victor van Gerven Oei, Márton Kormos
Language: English
Open Access status: green
OpenAlex ID: W2061188103
FWCI: 2.643
Cites: 67
Cited by: 41
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