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

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.

30 pages, 7 figures, matches the published version

References in corpus (6)

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• Dense nuclear matter and symmetry energy in strong magnetic fields
• The Exact Electron Propagator in a Magnetic Field as the Sum over Landau Levels on a Basis of the Dirac Equation Exact Solutions
• Semiclassical theory of charged pion radiation by nucleons in a strong homogeneous magnetic field

Cited by in corpus (10)

• Effect of anomalous magnetic moment of quarks on the phase structure and mesonic properties in the NJL model
• Effect of external magnetic field on nucleon mass in hot and dense medium : Inverse Magnetic Catalysis in Walecka Model
• Regularization of the Nambu-Jona Lasinio model under a uniform magnetic field and the role of the anomalous magnetic moments
• Mass modification of hot pions in magnetized dense medium
• In medium properties of $K^0$ and $\varphi$ mesons under an external magnetic field
• Modification of the masses of the lightest neutral mesons in a hadronic medium under an external magnetic field
• Kaons and antikaons in strong magnetic fields
• Vacuum effects on the properties of nuclear matter under an external magnetic field
• Light charged pion in ultra-strong magnetic field
• ${\rho }^0-\omega$ mixing in the presence of a weak magnetic field