Hamiltonian Dynamics, Classical R-matrices and Isomonodromic Deformations
Harnad, J.
arXiv, 9710012 / Harvested from arXiv
Text on arXiv
The Hamiltonian approach to the theory of dual isomonodromic deformations is developed within the framework of rational classical R-matrix structures on loop algebras. Particular solutions to the isomonodromic deformation equations appearing in the computation of correlation functions in integrable quantum field theory models are constructed through the Riemann-Hilbert problem method. The corresponding $\tau$-functions are shown to be given by the Fredholm determinant of a special class of integral operators.
Publié le : 1997-10-18
Classification:  Nonlinear Sciences - Exactly Solvable and Integrable Systems,  High Energy Physics - Theory,  Mathematical Physics 
@article{9710012,
     author = {Harnad, J.},
     title = {Hamiltonian Dynamics, Classical R-matrices and Isomonodromic
  Deformations},
     journal = {arXiv},
     volume = {1997},
     number = {0},
     year = {1997},
     language = {en},
     url = {http://dml.mathdoc.fr/item/9710012}
}

Harnad, J. Hamiltonian Dynamics, Classical R-matrices and Isomonodromic
  Deformations. arXiv, Tome 1997 (1997) no. 0, . http://gdmltest.u-ga.fr/item/9710012/