Elementary Excitations and Dynamical Correlation Functions of the Calogero-Sutherland Model with Internal Symmetry

TL;DR

This paper analyzes elementary excitations and dynamical correlation functions of the Calogero-Sutherland model with SU(K) internal symmetry, linking thermodynamics, excitation properties, and conformal field theory predictions.

Contribution

It provides a novel expression for dynamical correlation functions of the SU(K) Calogero-Sutherland model, integrating thermodynamic and dynamical insights.

Findings

Charge, spin, and statistics of excitations determined

Proposed dynamical correlation functions consistent with conformal field theory

Confirmed asymptotic behavior aligns with theoretical predictions

Abstract

We consider the physical properties of elementary excitations of the Calogero-Sutherland (CS) model with SU(K) internal symmetry. From the results on the thermodynamics of this model, we obtain the charge, spin, and statistics of elementary excitations. Combining this knowledge and the known results on the dynamics in the spinless CS model, we propose the expression for the dynamical correlation functions of the SU(K) CS model. In the asymptotic region, we confirm the consistency of our results with predictions from conformal field theory.