Large charge at large N

Abstract

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 « N « Q. Our approach places the earlier effective field theory treatment on firm ground and extends its predictions.

Keywords

• 1/N Expansion
• Conformal Field Theory
• Global Symmetries
• Spontaneous Symmetry Breaking