Neutral $\rho$ and $A$ mesons in magnetic field in SU(2) lattice gauge theory

TL;DR

This study investigates how strong magnetic fields influence the masses of neutral rho and A mesons in SU(2) lattice gauge theory, revealing a decrease in rho meson mass that supports possible meson condensation.

Contribution

It provides the first lattice calculation of neutral rho and A meson masses in strong magnetic fields within SU(2) gauge theory, highlighting mass reduction trends.

Findings

Neutral rho meson mass decreases with increasing magnetic field.

Mass behavior supports the possibility of rho meson condensation in strong magnetic fields.

Results are relevant for understanding QCD in extreme conditions.

Abstract

Correlators of vector, axial and pseudoscalar currents have been calculated in external strong magnetic field in SU(2) gluodynamics on the lattice. Neutral $\rho$ and $A$ meson masses with a zero spin projection to the axis parallel to the external magnetic field $B$ are calculated. The mass of the neutral $\rho$ meson with zero spin decreases with increasing of the magnetic field for available values of the magnetic field $eB\lesssim 2-2.5\, \Gev^2$, such behavior is necessary for a condensation of $\rho$ mesons in a strong magnetic field.