4 papers
Form factors, KdV and Deformed Hyperelliptic Curves
O. Babelon, D. Bernard, F. A. Smirnov
We review and summarize recent works on the relation between form factors in integrable quantum field theory and deformation of geometrical data associated to hyper-elliptic curves…
Null-vectors in Integrable Field Theory
O. Babelon, D. Bernard, F. A. Smirnov
The form factor bootstrap approach allows to construct the space of local fields in the massive restricted sine-Gordon model. This space has to be isomorphic to that of the corresp…
Quantization of Solitons and the Restricted Sine-Gordon Model
O. Babelon, D. Bernard, F. A. Smirnov
We show how to compute form factors, matrix elements of local fields, in the restricted sine-Gordon model, at the reflectionless points, by quantizing solitons. We introduce (quant…
Dressing Symmetries
O. Babelon, D. Bernard
We study Lie-Poisson actions on symplectic manifolds. We show that they are generated by non-Abelian Hamiltonians. We apply this result to the group of dressing transformations in…