Light mesons in a strong magnetic field on the lattice

Abstract

We explore the masses (ground states energies) of neutral and charged ρ mesons in strong abelian magnetic field in SU(3) gluodynamics. The energies of these particle in the external magnetic field depends on its spin projection s z on the axis of external magnetic field. The masses of ρ 0 meson with s z = ±1 increase with the field. The masses of ρ ± mesons with zero spin also grow with the magnetic field. The ground state energies of ρ − meson with s z = −1 and ρ + meson with s z = +1 decrease as a function of the field, while the energies of ρ + meson with s z = −1 and ρ − meson with s z = +1 rise with the field value.