Correlation functions in the Calogero-Sutherland model with open boundaries

TL;DR

This paper expresses correlation functions in the Calogero-Sutherland model with open boundaries using generalized hypergeometric functions, confirming conformal field theory predictions about boundary effects like orthogonality catastrophe and Friedel oscillations.

Contribution

It provides a new representation of correlation functions in the $BC_N$ Calogero-Sutherland model and analyzes their asymptotics in relation to boundary conformal field theory.

Findings

Correlation functions expressed via hypergeometric functions

Asymptotic behavior aligns with conformal field theory predictions

Supports understanding of boundary effects in quantum impurity models

Abstract

Calogero-Sutherland models of type $BC_N$ are known to be relevant to the physics of one-dimensional quantum impurity effects. Here we represent certain correlation functions of these models in terms of generalized hypergeometric functions. Their asymptotic behaviour supports the predictions of (boundary) conformal field theory for the orthogonality catastrophy and Friedel oscillations.