$\rho$ mesons in strong abelian magnetic field in SU(3) lattice gauge theory

Abstract

We explore the masses of neutral and charged $\rho$ mesons in strong abelian magnetic field in $SU(3)$ gluodynamics. The behaviour of the ground state energy of these particles in the external magnetic field depends on its spin projection $s_z$ on the axis of external magnetic field. The masses of ${\rho }^0$ meson with $s_z=\pm 1$ increase with the field. The masses of ${\rho }^{\pm }$ mesons with zero spin also grow with the magnetic field. The ground state energies of ${\rho }^{-}$ meson with $s_z=-1$ and ${\rho }^{+}$ meson with $s_z=+1$ diminish as a function of the field, while the energies of ${\rho }^{+}$ meson with $s_z=-1$ and ${\rho }^{-}$ meson with $s_z=+1$ rise with the field value.

Comments: 7 pages, 5 figures, The 32nd International Symposium on Lattice Field Theory, 23-28 June, 2014, Columbia University New York, NY