Chiral pions in a magnetic background

Abstract

We investigate the modification of the pion self-energy at finite temperature due to its interaction with a low-density, isospin-symmetric nuclear medium embedded in a constant magnetic background. To one loop, for fixed temperature and density, we find that the pion effective mass increases with the magnetic field. For the ${\pi }^{-}$, interestingly, this happens solely due to the trivial Landau quantization shift $\sim |eB|$, since the real part of the self-energy is negative in this case. In a scenario in which other charged particle species are present and undergo an analogous trivial shift, the relevant behavior of the effective mass might be determined essentially by the real part of the self-energy. In this case, we find that the pion mass decreases by $\sim 10$ for a magnetic field $|eB|\sim m_{\pi }^2$, which favors pion condensation at high density and low temperatures.

7 pages, 5 figures

References in corpus (21)

• Chiral effective field theory and nuclear forces
• QCD quark condensate in external magnetic fields
• QCD Phase Transition in a Strong Magnetic Background
• Quark matter under strong magnetic fields in the Nambu--Jona-Lasinio Model
• Superconductivity of QCD vacuum in strong magnetic field
• Spontaneous electromagnetic superconductivity of vacuum in strong magnetic field: evidence from the Nambu--Jona-Lasinio model
• Chiral transition in a strong magnetic background
• Chiral Properties of Strong Interactions in a Magnetic Background
• Quark-hadron phase transition in a magnetic field
• Tables of Hyperonic Matter Equation of State for Core-Collapse Supernovae
• Large Nc Deconfinement Transition in the Presence of a Magnetic Field
• Entanglement between chiral and deconfinement transitions under strong uniform magnetic background field
• The chiral transition in a magnetic background: Finite density effects and the functional renormalization group
• Vacuum structure and chiral symmetry breaking in strong magnetic fields for hot and dense quark matter
• Magnetic-field Induced Screening Effect and Collective Excitations
• Influence of pions and hyperons on stellar black hole formation
• Thermal chiral and deconfining transitions in the presence of a magnetic background
• Effect of quark masses on the QCD presssure in a strong magnetic background
• Possibility of s-wave pion condensates in neutron stars revisited
• Exploring the different phase diagrams of Strong Interactions
• Leading-order nucleon self-energy in relativistic chiral effective field theory

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