Color Reflection Invariance and Monopole Condensation in QCD

TL;DR

This paper addresses the stability of magnetic condensation in SU(2) QCD by correcting previous calculations, demonstrating that gauge invariance prevents tachyonic instabilities and supports the concept of monopole condensation.

Contribution

It identifies and corrects a critical flaw in the calculation of the gluon loop determinant, establishing the stability of the Savvidy-Nielsen-Olesen vacuum through gauge invariance.

Findings

Gauge invariance excludes unstable modes from the gluon loop.

The corrected calculation confirms the stability of magnetic condensation in QCD.

Supports the monopole condensation hypothesis in QCD.

Abstract

We review the quantum instability of the Savvidy-Nielsen-Olesen (SNO) vacuum of the one-loop effective action of SU(2) QCD, and point out a critical defect in the calculation of the functional determinant of the gluon loop in the SNO effective action. We prove that the gauge invariance, in particular the color reflection invariance, exclude the unstable tachyonic modes from the gluon loop integral. This guarantees the stability of the magnetic condensation in QCD.