Classical Calogero Model and Matrix Model

Kazuhiro Hikami; Miki Wadati

doi:10.1143/JPSJ.62.3857

Classical Calogero Model and Matrix Model

Kazuhiro Hikami, Miki Wadati

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

Abstract

It is proved that the classical Calogero model is a realization of the U(l) current algebra. The relations with the hermitian one-matrix model are explicitly shown. In particular, the coupling constants in the potential of the matrix model are identified as the “time” variables of the classical Calogero model, which are conjugate to the conserved quantities. Furthermore, the Calogero model is related to the integrable nonlinear evolution equations.

Original language	English
Pages (from-to)	3857-3863
Number of pages	7
Journal	journal of the physical society of japan
Volume	62
Issue number	11
DOIs	https://doi.org/10.1143/JPSJ.62.3857
Publication status	Published - Jan 1 1993
Externally published	Yes

All Science Journal Classification (ASJC) codes

Physics and Astronomy(all)

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10.1143/JPSJ.62.3857

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abstract = "It is proved that the classical Calogero model is a realization of the U(l) current algebra. The relations with the hermitian one-matrix model are explicitly shown. In particular, the coupling constants in the potential of the matrix model are identified as the “time” variables of the classical Calogero model, which are conjugate to the conserved quantities. Furthermore, the Calogero model is related to the integrable nonlinear evolution equations.",

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AB - It is proved that the classical Calogero model is a realization of the U(l) current algebra. The relations with the hermitian one-matrix model are explicitly shown. In particular, the coupling constants in the potential of the matrix model are identified as the “time” variables of the classical Calogero model, which are conjugate to the conserved quantities. Furthermore, the Calogero model is related to the integrable nonlinear evolution equations.

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Classical Calogero Model and Matrix Model

Abstract

All Science Journal Classification (ASJC) codes

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