# Topological susceptibility at zero and finite $T$ in SU(3) Yang-Mills theory

## TL;DR

This paper investigates the behavior of topological susceptibility in SU(3) gauge theory at zero and finite temperatures, revealing a sharp decrease at the deconfining transition, using improved measurement techniques.

## Contribution

It provides the first detailed analysis of topological susceptibility across the deconfining transition in pure SU(3) gauge theory with improved operators.

## Key findings

- Topological susceptibility at T=0 is determined accurately.
- $hi$ drops sharply by an order of magnitude at $T_c$.
- The behavior of $hi$ across the transition enhances understanding of QCD topology.

## Abstract

We determine the topological susceptibility $\chi$ at T=0 in pure SU(3) gauge theory and its behaviour at finite $T$ across the deconfining transition. We use an improved topological charge density operator. $\chi$ drops sharply by one order of magnitude at the deconfining temperature $T_c$.