Neutrino processes in strong magnetic fields

The processes V_e + n=e^- + p and formula provide the dominant mechanisms for heating and cooling the material below the stalled shock in a core-collapse supernova. We summarize the major effects of strong magnetic fields on the rates of the above reactions and illustrate these effects with a simple supernova model. Due to parity violation of weak interaction the heating rates are asymmetric even for a uniform magnetic field. The cooling rates are also asymmetric for nonuniform fields. The most dramatic effect of strong magnetic fields of ~ 1016 G is suppression of the cooling rates by changing the equations of state through the phase space of e- and e+.