# Chiral Symmetry Breaking by Monopole Condensation

## TL;DR

This paper demonstrates that monopole condensation in QCD leads to local chiral condensates and results in chiral symmetry breaking through anomaly-induced quark pair production.

## Contribution

It provides a novel mechanism linking monopole condensation to chiral symmetry breaking via local condensates and anomaly effects in QCD.

## Key findings

- Chiral condensate is locally present around QCD monopoles.
- Chiral non-symmetric pair production occurs with monopole condensation.
- Chiral symmetric pair production occurs without monopole condensation.

## Abstract

Under the assumption of Abelian dominance in QCD, we have shown that chiral condensate is locally present around each QCD monopole. The essence is that either of charge or chirality of a quark is not conserved, when the low energy massless quark collides with QCD monopole. In reality, the charge is conserved so that the chirality is not conserved. Reviewing the presence of the local chiral condensate, we show by using chiral anomaly that chiral non symmetric quark pair production takes place when a quark is putted in a vacuum with monopole condensation, while chiral symmetric pair production takes place in a vacuum with no monopole condensation. Our results strongly indicate that the chiral symmetry is broken by the monopole condensation.