The ρ and A mesons in strong abelian magnetic field in SU (2) lattice gauge theory

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 = +/- 1 increase in the mentioned field. Also we performed extrapolation and renormalization of masses on the lattice. (C) 2014 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/3.0/). Funded by SCOAP(3).