Absolute Measure of Local Chirality and the Chiral Polarization Scale of the QCD Vacuum

TL;DR

This paper introduces an absolute measure of local chirality to identify a chiral polarization scale in the QCD vacuum, revealing a transition in the behavior of low-lying eigenmodes that reflects QCD dynamics.

Contribution

It proposes a new absolute measure of local chirality that highlights a transition in eigenmode behavior, defining a chiral polarization scale in the QCD vacuum.

Findings

Identifies a transition in the absolute X-distribution of low-lying eigenmodes.

Defines a chiral polarization scale based on this transition.

Shows deviations from uniformity are linked to QCD dynamics.

Abstract

The use of the absolute measure of local chirality is championed since it has a uniform distribution for randomly reshuffled chiral components so that any deviations from uniformity in the associated "X-distribution" are directly attributable to QCD-induced dynamics. We observe a transition in the qualitative behavior of this absolute X-distribution of low-lying eigenmodes which, we propose, defines a chiral polarization scale of the QCD vacuum.