# Topological susceptibility and Instanton size distribution from   over-improved cooling

**Authors:** Philippe de Forcrand, Seyong Kim

arXiv: hep-lat/9509081 · 2009-10-28

## TL;DR

This paper introduces a method using over-improved cooling to measure topological susceptibility and instanton size distribution, effectively preserving large instantons and providing new insights into topological features in gauge theories.

## Contribution

It demonstrates that over-improved cooling maintains large instantons indefinitely and enables the measurement of instanton size distribution by varying the cooling parameter.

## Key findings

- Large instantons survive over-improved cooling indefinitely
- Over-improved cooling allows measurement of instanton size distribution
- Method provides new insights into topological properties in gauge theories

## Abstract

We measure the topological susceptibility by cooling with an over-improved action. In contrast with usual cooling, large instantons survive over-improved cooling {\em indefinitely}. By varying the parameter of the over-improved cooling action, we measure the instanton size distribution.

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Source: https://tomesphere.com/paper/hep-lat/9509081