## Abstract

We obtain integral representations for the wave functions of Calogero-type systems, corresponding to the finite-dimensional Lie algebras, using exact evaluation of the 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 the Calogero-Moser model and the models of Calogero-type like the 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 the large-k limit and observe a relation with the Generalized Kontsevich Model.

Original language | English |
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Pages (from-to) | 213-238 |

Number of pages | 26 |

Journal | Nuclear Physics B |

Volume | 414 |

Issue number | 1-2 |

DOIs | |

Publication status | Published - 14 Feb 1994 |

Externally published | Yes |