Large-$N$ ${\mathbb{CP}}^{N-1}$ sigma model on a Euclidean torus: uniqueness and stability of the vacuum

Stefano Bolognesi, Sven Bjarke Gudnason, Kenichi Konishi +1

In this paper we examine analytically the large-$N$ gap equation and its solution for the $2D$ ${\mathbb{CP}}^{N-1}$ sigma model defined on a Euclidean spacetime torus of arbitrary s…