Absolute X-distribution and self-duality

TL;DR

This paper investigates the self-duality tendency in pure-glue SU(3) gauge theory using the overlap-based field-strength tensor and the absolute X-distribution method to quantify polarization properties.

Contribution

It introduces the application of the absolute X-distribution method to analyze self-duality in QCD vacuum models with a focus on pure-glue SU(3) gauge theory.

Findings

Quantifies the polarization tendency in SU(3) gauge theory

Applies the absolute X-distribution method to gauge theory data

Provides insights into self-dual and anti-self-dual excitations

Abstract

Various models of QCD vacuum predict that it is dominated by excitations that are predominantly self-dual or anti-self-dual. In this work we look at the tendency for self-duality in the case of pure-glue SU(3) gauge theory using the overlap-based definition of the field-strength tensor. To gauge this property, we use the absolute X-distribution method which is designed to quantify the dynamical tendency for polarization for arbitrary random variables that can be decomposed in a pair of orthogonal subspaces.