## Neutral $ρ$ and $A$ mesons in magnetic field in SU(2) lattice gauge theory    [PDF]

E. V. Luschevskaya, O. V. Larina
Correlators of vector, axial and pseudoscalar currents have been calculated in external strong magnetic field in SU(2) gluodynamics on the lattice. Neutral $\rho$ and $A$ meson masses with a zero spin projection to the axis parallel to the external magnetic field $B$ are calculated. The mass of the neutral $\rho$ meson with zero spin decreases with increasing of the magnetic field for available values of the magnetic field $eB\lesssim 2-2.5\, \Gev^2$, such behavior is necessary for a condensation of $\rho$ mesons in a strong magnetic field.
View original: http://arxiv.org/abs/1306.2936