Determination of the properties of vector mesons in external magnetic field by Quenched $SU(3)$ Lattice QCD

TL;DR

This study uses quenched SU(3) lattice QCD to analyze how external magnetic fields affect the energies and properties of vector mesons, revealing the influence of spin projections and electromagnetic polarizabilities.

Contribution

It provides the first lattice QCD calculations of the g-factors and magnetic polarizabilities of charged vector mesons in strong magnetic fields.

Findings

Energy depends on spin projection in magnetic field

Magnetic polarizabilities significantly affect meson energies

Charged vector meson condensate formation is prevented at high fields

Abstract

We investigate the ground state energies of vector $\rho^{\pm}$ and $K^{\pm *}$ mesons depending on the magnetic field value in the $SU(3)$ lattice gauge theory. It has been shown that the energy of a vector particle depends on its spin projection on the field axis. The magnetic dipole polarizability and hyperpolarizabilities give significant contributions to the energy value which prevents the formation of the charged vector meson condensate at high magnetic fields. We calculate the g-factor of $\rho^{\pm}$ and $K^{\pm*}$ mesons and the dipole magnetic polarizability of $\rho^{\pm}$ mesons.