Hadronic matter under an external magnetic field: in medium modification of the pion mass

R. Aguirre

Published 2016-12-01Version 1

The covariant propagator of a fermion with anomalous magnetic moment interacting with an uniform external magnetic field at finite temperature and baryonic density is presented . The case of a scalar boson is also considered. The final expressions are given in terms of a 4-dimensional momentum representation. These results, which take account of the full effect of the magnetic field, are used to evaluate the modification of the pion mass at zero temperature as a function of the density and the magnetic intensity. For this purpose a self-consistent calculation, including one and two pion vertices, is employed.