Pion decay constants in a strong magnetic field

Abstract

Decay constants of the charged and neutral pions in magnetic field are considered in the framework of the effective quark-antiquark lagrangian respecting Gell-Mann--Oakes--Renner (GOR) relations at zero field. The $\sqrt{\frac{e_{q}B}{\sigma }}$ dependence is found in strong fields $e_{q}B\gg \sigma$ for the neutral pion, while the charged pion constant decreases as $\sqrt{\frac{\sigma }{e_{q}B}}$.

Comments: 11 pages, 2 figures,refs added