Dynamical correlation functions of the spin Calogero-Sutherland model

TL;DR

This paper derives the thermodynamic limit of dynamical correlation functions for the spin Calogero-Sutherland model, confirming previous conjectures and providing explicit formulas based on finite-size results.

Contribution

It presents the first derivation of the thermodynamic limit of dynamical correlation functions for the spin Calogero-Sutherland model from finite-size data.

Findings

Derived explicit formulas for density and spin-density correlation functions in the thermodynamic limit.

Confirmed the consistency of the density correlation function with previous conjectures.

Extended finite-size results to the thermodynamic limit for this integrable model.

Abstract

The thermodynamic limit of the dynamical density and spin-density two-point correlation functions for the spin Calogero-Sutherland model are derived from Uglov's finite-size results. The resultant formula for the density two-point correlation function is consistent with the previous conjecture on the basis of the minimal number of elementary excitations.