Neutral pion mass in warm magnetized medium within Linear Sigma Model coupled to Quarks $\left({\text{LSM}}_q\right)$ framework

Abstract

We study the neutral pion mass in the presence of an external arbitrary magnetic field in the framework of the linear sigma model coupled to quark (LSMq) at finite temperature. In doing so, we have calculated the pion self-energy, constructed the dispersion equation via re-summation, and solved the dispersion relation at zero three momentum limit. In calculating the pion mass, we have included meson self-coupling's thermal and magnetic contribution and approximate chiral order parameter $v_0$. We report that the ${\pi }^0$ mass decreases with the magnetic field and increases with temperature.

26 pages, 7 captioned figures

References in corpus (7)

• The Chiral Magnetic Effect
• 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 with magnetic fields
• Magnetic field dependence of the neutral pion mass in the linear sigma model with quarks: The strong field case
• Relic gravitational waves from the chiral magnetic effect
• Magnetic field-dependent electric charge transport in hadronic medium at finite temperature

Cited by in corpus (3)

• Magnetic field dependence of the neutral pion longitudinal screening mass in the linear sigma model with quarks
• Strongly interacting matter in extreme magnetic fields
• Thermomagnetic effects on light pseudo-scalar meson masses within the SU(3) Nambu-Jona--Lasinio model