Magnetic polarizabilities of light mesons in SU(3) lattice gauge theory

We investigate the ground state energies of neutral pseudoscalar and vector meson in SU(3) lattice gauge theory in the strong abelian magnetic field. The energy of rho(0) meson with zero spin projection s(z) = 0 on the axis of the external magnetic field decreases, while the energies with non-zero spins s(z) = -1 and +1 increase with the field. The energy of pi(0) meson decreases as a function of the magnetic field. We calculate the magnetic polarizabilities of pseudoscalar and vector mesons for lattice volume 18(4). For rho(0) with spin vertical bar s(z)| = 1 and pi(0) meson the polarizabilities in the continuum limit have been evaluated. We do not observe any evidence in favour of tachyonic mode existence. (C) 2015 The Authors. Published by Elsevier B.V.