Magnetic field dependence of the neutral pion longitudinal screening mass in the linear sigma model with quarks

Abstract

We use the linear sigma model with quarks to study the magnetic-field-induced modifications on the longitudinal screening mass for the neutral pion at one-loop level. The effects of the magnetic field are introduced into the self-energy, which contains the contributions from all the model particles. We find that, to obtain a reasonable description for the behavior with the field strength, we need to account for the magnetic field dependence of the particle masses. We also find that the couplings need to decrease fast enough with the field strength to then reach constant and smaller values as compared to their vacuum ones. The results illustrate the need to treat the magnetic corrections to the particle masses and couplings in a self-consistent manner, accounting for the backreaction of the field effects for the magnetic field dependence of the rest of the particle species and couplings in the model.

15 pages, 10 figures. arXiv admin note: text overlap with arXiv:2011.03673

References in corpus (26)

• The QCD equation of state in background magnetic fields
• The Importance of Asymptotic Freedom for the Pseudocritical Temperature in Magnetized Quark Matter
• Inverse magnetic catalysis in the (2+1)-flavor Nambu--Jona-Lasinio and Polyakov--Nambu--Jona-Lasinio models
• Quark Antiscreening at Strong Magnetic Field and Inverse Magnetic Catalysis
• Inverse magnetic catalysis for the chiral transition induced by thermo-magnetic effects on the coupling constant
• Inverse magnetic catalysis in the linear sigma model with quarks
• The melting of charmonium in a magnetic field from an effective AdS/QCD model
• Charmonium Spectroscopy in Strong Magnetic Fields by QCD Sum Rules: S-Wave Ground States
• Charged and neutral vector meson under magnetic field
• QCD sum rules for magnetically induced mixing between ${\eta }_c$ and $J/\psi$
• Effect of anomalous magnetic moment of quarks on the phase structure and mesonic properties in the NJL model
• Finite temperature quark-gluon vertex with a magnetic field in the Hard Thermal Loop approximation
• Heavy meson spectroscopy under strong magnetic field
• Chiral transition with magnetic fields
• Spectral properties of $\rho$ meson in a magnetic field
• Chiral condensates and screening masses of neutral pseudoscalar mesons in thermomagnetic QCD medium
• Magnetic field dependence of the neutral pion mass in the linear sigma model with quarks: The strong field case
• Mass modification of hot pions in magnetized dense medium
• General structure of the neutral $\rho$ meson self-energy and its spectral properties in a hot and dense magnetized medium
• Modification of the masses of the lightest neutral mesons in a hadronic medium under an external magnetic field
• Effect of time-varying electromagnetic field on Wiedemann-Franz law in a hot hadronic matter
• Properties of magnetized neutral pions at zero and finite temperature in nonlocal chiral quark models
• Renormalons in a scalar self interacting theory: thermal, thermomagnetic and thermoelectric corrections for all values of temperature
• Melting holographic mesons by applying a magnetic field
• Axial coupling constant in a magnetic background
• Neutral pion mass in warm magnetized medium within Linear Sigma Model coupled to Quarks $\left({\text{LSM}}_q\right)$ framework

Cited by in corpus (3)

• Chiral condensates and screening masses of neutral pseudoscalar mesons from lattice QCD at physical quark masses
• Thermomagnetic effects on light pseudo-scalar meson masses within the SU(3) Nambu-Jona--Lasinio model
• ${\pi }^0\to 2\gamma$ decay under strong magnetic fields in the NJL model