Conserved current correlators of conformal field theories in 2+1 dimensions

TL;DR

This paper calculates conserved current correlators in 2+1 dimensional conformal field theories, providing universal constants at criticality and in symmetry-broken phases, with implications for quantum critical points in antiferromagnets.

Contribution

It presents the first next-to-leading order calculations of current correlators in the CP^{N-1} model in 2+1 dimensions, including both critical and broken symmetry phases.

Findings

Universal constants computed at next-to-leading order in 1/N

Results applicable to quantum critical points in antiferromagnets

Insights into phase behavior of CP^{N-1} field theories

Abstract

We compute current correlators of the CP^{N-1} field theory in 2+1 dimensions, both at the critical point and in the phase with spontaneously broken SU(N) symmetry. Universal constants are obtained to next-to-leading order in the 1/N expansion. Implications are noted for quantum critical points of antiferromagnets, and their vicinity.