Hamiltonian systems of Calogero-type, and two-dimensional Yang-Mills theory
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Publication:1967619
DOI10.1016/0550-3213(94)90429-4zbMATH Open1007.81547arXivhep-th/9304047OpenAlexW2099846183MaRDI QIDQ1967619
Author name not available (Why is that?)
Publication date: 6 March 2000
Published in: (Search for Journal in Brave)
Abstract: 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.
Full work available at URL: https://arxiv.org/abs/hep-th/9304047
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