Parametric Ward-Takahashi identity in disordered systems and the integral identity associated with the Calogero-Sutherland model

Details Parametric Ward-Takahashi identity in disordered systems and the integral identity associated with the Calogero-Sutherland model Parametric Ward-Takahashi identity in disordered systems and the integral identity associated with the Calogero-Sutherland model

1997-02-26

arxiv.org/abs/cond-mat/9702219v1

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, REVTeX+multicol.sty, to be published in Phys. Rev. E

Scientific paper

10.1103/PhysRevE.55.4116

By utilizing the symmetric property known as the Ward-Takahashi identity in disordered systems, we explore the novel symmetry relations which hold in one-dimensional systems with inverse square interaction (the Calogero-Sutherland model). The identities emerge totally from the algebraic structure of the model. They show that the dynamical correlators are connected with one another, involving the higher-order integrals of motion. We obtain the result for the coupling strengths $\lambda=1/2, 1, and 2$, and conjecture that a similar relation may hold for arbitrary rational $\lambda$.

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