Random Matrix Model and the Calogero-Sutherland Model: A Novel Current-Density Mapping

Abstract

We investigate the relation between the invariant correlators of random matrix theory and correlators of the integrable one-dimensional systems. Starting from the relation between correlators for the coupling strengths $\lambda =1/2$, $1$, and $2$, we explore the local current-density mapping applicable to arbitrary $\lambda$ including {\em irrational\/} values, which results from the novel structure of the Calogero-Sutherland model. We find an interesting and novel relationship between equal time current and density correlations for any coupling, which exist {\em in addition} to the usual Ward Identities for this class of systems.

4 pages, REVTeX3+multicol.sty

References in corpus (4)

• Exact Dynamical Correlation Functions of Calogero-Sutherland Model and One-Dimensional Fractional Statistics
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