Greensite-Halpern stabilization of $A_k$ singularities in the $N \to \infty$ limit

TL;DR

This paper applies the Greensite-Halpern stabilization method to zero-dimensional O(N) sigma models with unstable $A_k$ singularities in the large N limit, aiming to address instabilities in Euclidean actions.

Contribution

It extends the Greensite-Halpern stabilization technique to zero-dimensional models with specific singularities, providing a new approach to handle instabilities at large N.

Findings

Stabilization of $A_k$ singularities achieved in the models.

Insights into the behavior of Euclidean actions with singularities at large N.

Potential implications for higher-dimensional theories.

Abstract

The Greensite-Halpern method of stabilizing bottomless Euclidean actions is applied to zerodimensional O(N) sigma models with unstable $A_k$ singularities in the $N = \infty$ limit.