The New Identity for the Scattering Matrx of Exactly Solvable Models

Abstract

We discovered a simple quadratic equation, which relates scattering phases of particles on Fermi surface. We consider one dimensional Bose gas and XXZ Heisenberg spin chain.

7 pages, Latex, no figures

Cited by in corpus (15)

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• Form factor approach to dynamical correlation functions in critical models
• Exact exponents of edge singularities in dynamic correlation functions of 1D Bose gas
• Thermodynamic limit of particle-hole form factors in the massless XXZ Heisenberg chain
• Low-temperature large-distance asymptotics of the transversal two-point functions of the XXZ chain
• On the thermodynamic limit of form factor expansions of dynamical correlation functions in the massless regime of the XXZ spin $1/2$ chain
• Correlation lengths of the repulsive one-dimensional Bose gas
• Long-distance and large-time asymptotic behaviour of dynamic correlation functions in the massless regime of the XXZ spin-1/2 chain
• Correlations of zero-entropy critical states in the XXZ model: integrability and Luttinger theory far from the ground state
• On singularities of dynamic response functions in the massless regime of the XXZ spin-1/2 chain
• Integral equations for the correlation functions of the quantum one-dimensional Bose gas
• Form factors of bound states in the XXZ chain
• Mobile impurities in integrable models
• Large-distance and long-time asymptotic behavior of the reduced density matrix in the non-linear Schrödinger model
• A nonlinear indentity for the scattering phase of integrable models