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

N. Taniguchi
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Abstract

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 $λ=1/2, 1, and 2$, and conjecture that a similar relation may hold for arbitrary rational $λ$.

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N. Taniguchi. 1997-02-26. Parametric Ward-Takahashi identity in disordered systems and the integral identity associated with the Calogero-Sutherland model. https://doi.org/10.1103/physreve.55.4116

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