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arXiv · 1612.00327

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

R. Aguirre
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Abstract

The covariant propagator of a fermion with intrinsic magnetic moment interacting with a uniform external magnetic field is presented for finite temperature and baryonic density. The case of a scalar boson is also considered. The final expressions are given in terms of a four-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.

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R. Aguirre. 2016-12-01. Hadronic matter under an external magnetic field: in medium modification of the pion mass. https://doi.org/10.1103/physrevd.95.074029

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