2D Calogero Model in the Collective-Field Approach

TL;DR

This paper studies the two-dimensional Calogero-Marchioro model using a collective field approach, analyzing density fluctuations, excitation spectra, and ground state properties in the large-N limit.

Contribution

It introduces a collective field framework for the 2D Calogero-Marchioro model and explores its excitation spectrum and ground state characteristics.

Findings

Excitation spectrum splits into two branches based on coupling constant.

Ground state shows long-range order.

Bogomol'nyi limit appears with harmonic confinement.

Abstract

We consider the large-N Calogero-Marchioro model in two dimensions in the Hamiltonian collective field approach based on the 1/N expansion. The Bogomol'nyi limit appears in the presence of the harmonic confinement. We investigate density fluctuations around the semiclassical uniform solution. The excitation spectrum splits into two branches depending on the value of the coupling constant. The ground state exhibits long-range order.