1995/10/03 by Nobuhiko Taniguchi, N. Taniguchi, B. Sriram Shastry +2 · 28 citations
Chemistry · Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Computer science #Coupling (piping) #Current (fluid) #Integrable system #Invariant (physics) #Lambda #Mathematical physics #Mathematics #Matrix (chemical analysis) #Molecular spectroscopy and chirality #Nonlinear Waves and Solitons #Physics #Pure mathematics #Quantum mechanics #Random matrix #Relation (database) #Statistical physics #cond-mat
paper · pdf · doi:10.1103/physrevlett.75.3724
published in Physical Review Letters 75(20), 3724-3727 (American Physical Society) · 4 pages, REVTeX3+multicol.sty
arxiv created 1995/10/03 · openalex publication_date 1995/11/13 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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 \ensuremathλ=(1)/(2), 1, and 2, we explore the local current-density mapping applicable to arbitrary \ensuremathλ including 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 in addition to the usual Ward identities for this class of systems.