  We calculated correlators of vector, axial and pseudoscalar currents in
external strong abelian magnetic field according to SU(2) gluodynamics. The
masses of neutral $\rho$ and $A$ mesons with various spin projections to the
axis parallel to the external magnetic field B have been calculated. We found
that the masses of neutral mesons with zero spin $s=0$ decrease in increasing
magnetic field, while the masses of the $\rho$ and $A$ mesons with spin $s=\pm
1$ increase in the mentioned field. Also we performed extrapolation and
renormalization of masses on the lattice.
