Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1993-04-12
Nucl.Phys. B414 (1994) 213-238
Physics
High Energy Physics
High Energy Physics - Theory
34 pages,UUITP-6/93 and ITEP-20/93
Scientific paper
10.1016/0550-3213(94)90429-4
We obtain integral representations for the wave functions of Calogero-type systems,corresponding to the finite-dimentional Lie algebras,using exact evaluation of path integral.We generalize these systems to the case of the Kac-Moody algebras and observe the connection of them with the two dimensional Yang-Mills theory.We point out that Calogero-Moser model and the models of Calogero type like Sutherland one can be obtained either classically by some reduction from two dimensional Yang-Mills theory with appropriate sources or even at quantum level by taking some scaling limit.We investigate large k limit and observe a relation with Generalized Kontsevich Model.
Gorsky Alexander
Nekrasov Nikita
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