Emergent Kink Statistics at Finite Temperature

TL;DR

This paper investigates how topological objects called kinks emerge at finite temperature in 1D quantum systems with Higgs-like interactions, using simulations and analytic methods to understand their abundance and implications for QCD.

Contribution

It introduces a discrete kink model and applies Monte-Carlo and analytic techniques to analyze topological phenomena at finite temperature.

Findings

Kinks become more abundant at low temperatures.

The discrete kink model provides new insights into topological emergence.

Results may inform understanding of topological phenomena in QCD.

Abstract

In this paper we use 1D quantum mechanical systems with Higgs-like interaction potential to study the emergence of topological objects at finite temperature. Two different model systems are studied, the standard double-well potential model and a newly introduced discrete kink model. Using Monte-Carlo simulations as well as analytic methods, we demonstrate how kinks become abundant at low temperatures. These results may shed useful insights on how topological phenomena may occur in QCD.