# Theta dependence in the large N limit

## TL;DR

This paper investigates the large N behavior of higher cumulants of topological charge in gauge theories, providing initial results that confirm theoretical predictions about the scaling of the kurtosis-related coefficient.

## Contribution

It presents the first results on the large N scaling of higher cumulants of topological charge, extending beyond the commonly studied topological susceptibility.

## Key findings

- Confirmed large N scaling of the coefficient b_2
- Provided initial numerical results for higher cumulants
- Extended understanding of topological properties in gauge theories

## Abstract

Studies of the large $N$ behaviour of the topological properties of gauge theories typically focused on the large $N$ scaling of the topological susceptibility. A much more difficult task is the study of the behaviour of higher cumulants of the topological charge in the large $N$ limit, which up to now remained elusive. We will present first results confirming the expected large $N$ scaling of the coefficient commonly denoted by $b_2$, related to the kurtosis of the topological charge.