dorsal/arxiv
View SchemaHamiltonian Dynamics, Classical R-matrices and Isomonodromic Deformations
| Authors | J. Harnad |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9710012 |
| URL | https://arxiv.org/abs/solv-int/9710012 |
| DOI | 10.1007/BFb0105314 |
| Journal | Lect.Notes Phys.502:63-75,1998 |
Abstract
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.
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"abstract": "The Hamiltonian approach to the theory of dual isomonodromic deformations is\ndeveloped within the framework of rational classical R-matrix structures on\nloop algebras. Particular solutions to the isomonodromic deformation equations\nappearing in the computation of correlation functions in integrable quantum\nfield theory models are constructed through the Riemann-Hilbert problem method.\nThe corresponding $\\tau$-functions are shown to be given by the Fredholm\ndeterminant of a special class of integral operators.",
"arxiv_id": "solv-int/9710012",
"authors": [
"J. Harnad"
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"doi": "10.1007/BFb0105314",
"journal_ref": "Lect.Notes Phys.502:63-75,1998",
"title": "Hamiltonian Dynamics, Classical R-matrices and Isomonodromic Deformations",
"url": "https://arxiv.org/abs/solv-int/9710012"
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