Density Correlation Functions in Calogero Sutherland Models

TL;DR

This paper conjectures the form of dynamical density correlation functions in Calogero-Sutherland models at reciprocal couplings, supported by strong evidence from theoretical arguments.

Contribution

It introduces a conjecture for density correlation functions at reciprocal couplings in Calogero-Sutherland models, linking two-dimensional Yang-Mills theory and collective coordinate methods.

Findings

Conjectured density correlation functions for coupling l and 1/l.

Strong evidence supporting the conjecture.

Connections established between Yang-Mills theory and Calogero-Sutherland models.

Abstract

Using arguments from two dimensional Yang-Mills theory and the collective coordinate formulation of the Calogero-Sutherland model, we conjecture the dynamical density correlation function for coupling $l$ and $1/l$, where $l$ is an integer. We present overwhelming evidence that the conjecture is indeed correct.