We discuss the charged pion condensation phenomenon in the linear sigma model, in the presence of an external uniform magnetic field. The critical temperature is obtained as a function of the external magnetic field, assuming the transition is of second order, by considering a dilute gas at low temperature. As a result we found magnetic catalysis for high values of the external magnetic field. This behavior confirms previous results with a single charged scalar field.

• Received 30 October 2013

DOI:https://doi.org/10.1103/PhysRevD.89.016004