Exact calculation of the ground state single-particle Green's function for the $1/r^2$ quantum many body system at integer coupling

TL;DR

This paper presents an exact calculation of the ground state single-particle Green's function for the $1/r^2$ quantum many-body system at integer coupling, confirming a recent conjecture by Haldane.

Contribution

It provides the first exact analytical expression for the Green's function in this model at integer coupling, validating previous conjectures.

Findings

Exact Green's function matches Haldane's conjecture

Confirms theoretical predictions for $1/r^2$ system

Supports the integrability of the model

Abstract

The ground state single particle Green's function describing hole propagation is calculated exactly for the $1/r^2$ quantum many body system at integer coupling. The result is in agreement with a recent conjecture of Haldane.