Effects of the anomalous magnetic moments of the quarks on the neutral pion properties within a SU(2) Nambu-Jona Lasinio model
arXiv:2312.13882 · doi:10.1140/epja/s10050-021-00480-1
Abstract
The properties of the neutral pion in quark matter under the influence of an external magnetic field are studied. The effects of the anomalous magnetic moments (AMM) of the quarks at finite density is considered. The inclusion of the AMM into the NJL model gives rise to additional magnetic effects. In particular the Dirac sea produce new divergences in the vacuum contributions, which depend explicitly on the magnetic field. An improper treatment of these contributions is the source of unphysical results, as emphasized in recent investigations. The pion polarization function is evaluated in the random phase approximation using analytic regularization and a subtraction scheme to deal with such divergencies. This procedure is combined with the standard three momentum cutoff, and reduces to it for vanishing magnetic intensity. The pion mass and coupling constant are evaluated for a wide range of magnetic intensity and baryonic density.
8 figures
References in corpus (17)
- Quantum field theory in a magnetic field: From quantum chromodynamics to graphene and Dirac semimetals
- Quark matter under strong magnetic fields in the Nambu--Jona-Lasinio Model
- Dressed-quark anomalous magnetic moments
- Color-flavor locked superconductor in a magnetic field
- Color-Superconducting Gap in the Presence of a Magnetic Field
- Magnetized strange quark matter and magnetized strange quark stars
- Vacuum structure and chiral symmetry breaking in strong magnetic fields for hot and dense quark matter
- Pseudoscalars Mesons in Hot, Dense Matter
- NJL-type models in the presence of intense magnetic fields: the role of the regularization prescription
- Effect of anomalous magnetic moment of quarks on the phase structure and mesonic properties in the NJL model
- Inverse catalysis effect of quark anomalous magnetic moment to chiral restoration and deconfinement phase transitions
- Magnetic field dependence of the neutral pion mass in the linear sigma model with quarks: The strong field case
- Magnetic corrections to the boson self-coupling and boson-fermion coupling in the linear sigma model with quarks
- Thermo-magnetic spectral properties of neutral mesons in vector and axial-vector channels using NJL model
- Mass modification of hot pions in magnetized dense medium
- Regularization of the Nambu-Jona Lasinio model under a uniform magnetic field and the role of the anomalous magnetic moments
- Dynamically generated magnetic moment in the Wigner-function formalism
Cited by in corpus (6)
- Anisotropic pressure of magnetized quark matter with anomalous magnetic moment
- Effects of the quark anomalous magnetic moment in the chiral symmetry restoration: magnetic catalysis and inverse magnetic catalysis
- Artificial first-order phase transition in a magnetized Nambu--Jona-Lasinio model with a quark anomalous magnetic moment
- Strongly interacting matter in extreme magnetic fields
- Dimensional reduction and the generalized pion in a magnetic field within the NJL model
- Anomalous-magnetic-moment-enhanced Casimir effect