Large charge at large N

TL;DR

This paper applies the large-charge expansion to O(N) vector models at the Wilson-Fisher point, deriving conformal dimensions at various temperatures and charges, and strengthening the theoretical foundation of previous effective field theory predictions.

Contribution

It provides a first-principles derivation of large-charge expansions in O(N) models, extending and solidifying earlier effective field theory results.

Findings

Conformal dimensions computed at zero and finite temperature.

Analysis valid in the regime 1 << N << Q.

Strengthens the theoretical basis for large-charge predictions.

Abstract

We apply the large-charge expansion to O(N) vector models starting from first principles, focusing on the Wilson-Fisher point in three dimensions. We compute conformal dimensions at zero and finite temperature at fixed charge Q, concentrating on the regime $1 \ll N \ll Q$. Our approach places the earlier effective field theory treatment on firm ground and extends its predictions.