Chiral effects in gauge theories and the chiral chemical potential

(by Jorge L. Acosta Avalo and Hugo C. Perez Rojas)

Profr. Hugo Celso Pérez Rojas ICIMAF y CITMA, La Habana, Cuba

Chiral magnetic effect has been a topic of wide discussion in recent literature, in connection to QCD. We show the arising of a chiral magnetic effect in QED for an electron-positron medium. The effect occurs even in a neutral medium (electric chemical potential $\mu =0$). By considering the electroweak model we find that the chiral chemical potential is equivalent to the neutral charge chemical potential, and vanishes since neutral charge is non-conserved even at the classical limit.