Bethe vectors ofGL(3)-invariant integrable models

Bethe–Salpeter wave functions in integrable models

We investigate some properties of Bethe–Salpeter wave functions in integrable models. In particular we illustrate the application of the operator product expansion in determining the short distance behavior. The energy dependence of the potentials obtained from such wave functions is studied, and further we discuss the (limited) phenomenological significance of zero–energy potentials.

Drinfeld Twists and Symmetric Bethe Vectors of Supersymmetric Fermion Models

We construct the Drinfeld twists (factorizing F -matrices) of the gl(m|n)invariant fermion model. Completely symmetric representation of the pseudoparticle creation operators of the model are obtained in the basis provided by the F -matrix (the F -basis). We resolve the hierarchy of the nested Bethe vectors in the F -basis for the gl(m|n) supersymmetric model.

Bethe Ansatz works for integrable model

Yang–baxter Symmetry in Integrable Models: New Light from the Bethe Ansatz Solution

⋆ Work supported by the CNR/CNRS exchange program † E–mail: [email protected] mail address: Dipartimento di Fisica Viale delle Scienze, 43100 Parma, ITALIA ‡ Laboratoire Associé au CNRS UA 280 § E–mail: [email protected] mail address: L.P.T.H.E., Tour 16, 1er étage, Université Paris VI, 4, Place Jussieu, 75252, Paris cedex 05, FRANCE We show how any integrable 2D QFT enjoys the existen...

New Fundamental Symmetries of Integrable Systems and Partial Bethe Ansatz

We introduce a new concept of quasi-Yang-Baxter algebras. The quantum quasiYang-Baxrer algebras being simple but non-trivial deformations of ordinary algebras of monodromy matrices realize a new type of quantum dynamical symmetries and nd an unexpected and remarkable applications in quantum inverse scattering method (QISM). We show that applying to quasi-Yang-Baxter algebras the standard proced...