The neutral $\rho$ meson in a strong magnetic field in $\mathrm{SU}(2)$ lattice gauge

The correlators of vector and pseudoscalar currents have been calculated in the external strong magnetic field in $\mathrm{SU}(2)$ gluodynamics on the lattice. The masses of the neutral $\rho$ meson with different spin projections $s = 0,\pm1$ to the axis parallel to the external magnetic field $B$ were calculated. The $\rho$ meson mass with zero spin $s = 0$ decreases with the growth of the magnetic field and the $\rho$ meson masses with $s = \pm1$ increase with the magnetic field.