Charged vector mesons in a strong magnetic field

TL;DR

This paper proves that charged vector mesons do not condense in strong magnetic fields within QCD, contradicting some hadron model predictions, and confirms this through lattice QCD simulations.

Contribution

The paper provides a rigorous proof using the Vafa-Witten theorem and supports it with lattice QCD data showing no condensation occurs.

Findings

Charged vector mesons do not condense in strong magnetic fields.

Lattice QCD results confirm the absence of meson condensation.

Theoretical proof contradicts some hadron model predictions.

Abstract

We show that charged vector mesons cannot be condensed by a magnetic field. Although some hadron models predict the charged vector meson condensation in a strong magnetic field, we prove, by means of the Vafa-Witten theorem, that this is not the case in QCD. We also perform the numerical analysis for the meson mass and condensation in lattice QCD. The lattice QCD data confirm no charged vector meson condensation in a magnetic field.