Rho and A-mesons in external magnetic field in SU(2) lattice gauge theory

Abstract

We computed correlators of vector, axial and pseudoscalar currents in the external strong magnetic field according to SU(2) lattice gauge theory. Masses of the neutral ρ and A mesons with different spin projections s = 0, ±1 along the magnetic field direction have been calculated. The masses of the neutral axial and vector mesons with zero spin s = 0 decrease under the increasing magnetic field, while the masses with spin s = ±1 increase with the value of the field. The quark mass extrapolation also were performed on the lattice.