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

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

1995-10-03

arxiv.org/abs/cond-mat/9510012v1

Physics

Condensed Matter

4 pages, REVTeX3+multicol.sty

Scientific paper

10.1103/PhysRevLett.75.3724

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.

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