-mesons in a strong magnetic field on the lattice
E. V. Luschevskaya+* 1), O. A. Kochetkov+×,1), O. V. Teryaev°∇ 1) , O. E. Solovjeva+∇
+NRC "Kurchatov Institute" SSC RF Institute of Theoretical and Experimental Physics, 117218 Moscow, Russia
*School of Biomedicine, Far Eastern Federal University, 690950 Vladivostok, Russia
×Institut fur Theoretische Physik, Universitat Regensburg, D-93040 Regensburg, Germany
°Joint Institute for Nuclear Research, 141980 Dubna, Russia
∇National Research Nuclear University "MEPhI" 115409 Moscow, Russia
We calculated the correlators of pseudoscalar and vector currents
in external strong abelian magnetic field in SU(3) gluodynamics. From the
correlation functions we obtain the ground state energies (masses) of neutral
ρ0-meson and charged - and -mesons. The energy of
the ρ0-meson with zero spin projection on the axis of the field
decreases, while the energies with non-zero spins increase with the field
value. The mass of charged -mesons increases with the field.
We observe the agreement between Landau level picture and behaviour of
charged -mesons for moderate magnetic fields.
There are no evidences in favour of charged vector meson condensation or
tachyonic mode existence at large magnetic fields.
The g-factor of is estimated in the chiral limit.