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

TL;DR

This paper investigates how an external magnetic field affects the properties of hadronic matter, specifically focusing on the in-medium modification of the pion mass at finite density and temperature using a covariant propagator approach.

Contribution

It provides a comprehensive covariant propagator formulation for fermions with magnetic moments and applies it to evaluate pion mass modifications in magnetic fields at finite density and temperature.

Findings

Pion mass increases with magnetic field strength at zero temperature.

The magnetic field significantly alters hadronic properties in medium.

The approach includes self-consistent calculations with pion interactions.

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.