# Chiral Symmetry Breaking by Monopole Condensation

## TL;DR

This paper demonstrates that monopole condensation in QCD leads to chiral symmetry breaking through non-conservation of quark chirality, supported by anomaly calculations showing different pair production mechanisms.

## Contribution

It provides a novel mechanism linking monopole condensation to chiral symmetry breaking in QCD under the assumption of Abelian dominance.

## Key findings

- Chiral symmetry is broken by monopole condensation.
- Chiral non-symmetric pair production occurs with monopoles.
- Chiral symmetric pair production occurs without monopoles.

## Abstract

Under the assumption of Abelian dominance in QCD, we show that either color charge or chirality of quark is not conserved, when the low energy massless quark collides with QCD monopole. Because the color charge is conserved in reality, the chirality is not conserved. We show by using chiral anomaly that chiral non symmetric quark pair production takes place when a classical color charge is putted in a vacuum with monopole condensation, while chiral symmetric pair production takes place in a vacuum with no monopole condensation. Our results indicate that the chiral symmetry is broken by the monopole condensation.