Séminaire de Physique Théorique

On the form factors of the sine-Gordon model in the framework of Sklyanin's Separation of Variables
Nicolas Grosjean (Université de Cergy-Pontoise)
Thursday 27 March 2014 14:00 -  Tours -  Salle 1180 (Bât E2)

Résumé :
In the field of integrable models, the problem of calculating explicit expressions for form factors and correlation functions in general is still an open problem. In the framework of Sklyanin's separation of variables (1), we use the results on the spectrum of the sine-Gordon model (2) to exhibit the eigenbasis of the hamiltonian. Associated to the formula for the scalar product of these states, which has been obtained as a determinant, and a solution of the inverse problem, this allows to express form factors in terms of a determinant of finite size (3).

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