π± and ρ 0,± mesons in a strong magnetic field on the lattice

Abstract

We calculated the correlators of pseudoscalar and vector currents in external strong abelian magnetic field in SU(3) gluodynamics. From the correlation functions, we obtain the ground state energies (masses) of neutral ρ0 meson and charged π± and ρ± mesons. The energies of the ρ0 meson with nonzero spins increase with the field value. The mass of charged π± mesons increases with the field. We observe the agreement between Landau level picture and behavior of charged ρ± mesons for moderate magnetic fields. There are no evidences in favor of charged vector meson condensation or tachyonic mode existence at large magnetic fields. The g-factor of ρ± is estimated in the chiral limit.