Magnetic field dependence of the neutral pion mass in the linear sigma model with quarks: The strong field case

Abstract

We use the linear sigma model with quarks to find the magnetic field-induced modifications to the neutral pion mass at one-loop level. The magnetic field effects are introduced by using charged particle propagators in the presence of a magnetic background in the strong field regime. We show that when accounting for the effects of the magnetic field on the model couplings, the vacuum sigma field and the neutral pion self-energy, the neutral pion mass decreases monotonically as a function of the field strength. We find an excellent qualitative and quantitative agreement with recent lattice QCD calculations, reproducing the monotonically decreasing trend with the field strength as well as the decrease when lattice data approaches the physical vacuum pion mass from larger values.

14 pages, 10 figures, expanded discussion, conclusions unchanged, version to appear in Phys. Rev. D

References in corpus (22)

• Quantum field theory in a magnetic field: From quantum chromodynamics to graphene and Dirac semimetals
• 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
• Magnetic corrections to the boson self-coupling and boson-fermion coupling in the linear sigma model with quarks
• 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
• Properties of magnetized neutral pions at zero and finite temperature in nonlocal chiral quark models
• Melting holographic mesons by applying a magnetic field

Cited by in corpus (22)

• QCD phase diagram in a magnetized medium from the chiral symmetry perspective: The linear sigma model with quarks and the Nambu--Jona-Lasinio model effective descriptions
• Chiral condensates and screening masses of neutral pseudoscalar mesons in thermomagnetic QCD medium
• Impacts of (inverse) magnetic catalysis on screening masses of neutral pions and sigma mesons in hot and magnetized quark matter
• QCD equation of state at finite isospin density from the linear sigma model with quarks: The cold case
• Effects of the quark anomalous magnetic moment in the chiral symmetry restoration: magnetic catalysis and inverse magnetic catalysis
• Light pseudo-scalar meson masses under strong magnetic fields within the SU(3) Nambu-Jona-Lasinio model
• Mass spectra of neutral mesons $K_0,{\pi }_0,\eta ,{\eta }^{\prime }$ at finite magnetic field, temperature and baryon chemical potential
• Renormalons in a scalar self interacting theory: thermal, thermomagnetic and thermoelectric corrections for all values of temperature
• Functional renormalization group study of neutral and charged pion under magnetic fields in the quark-meson model
• Masses of magnetized pseudoscalar and vector mesons in an extended NJL model: the role of axial vector mesons
• Effects of the anomalous magnetic moments of the quarks on the neutral pion properties within a SU(2) Nambu-Jona Lasinio model
• Magnetic field dependence of the neutral pion longitudinal screening mass in the linear sigma model with quarks
• Magnetic renormalons in a scalar self interacting $\lambda {\varphi }^4$ theory
• Catalysis and inverse electric catalysis in a scalar theory
• Thermomagnetic renormalons in a scalar self-interacting $\lambda {\varphi }^4$ theory
• Quark matter under strong electric fields in the Linear Sigma Model coupled with quarks
• Neutral pion mass in warm magnetized medium within Linear Sigma Model coupled to Quarks $\left({\text{LSM}}_q\right)$ framework
• Thermomagnetic effects on light pseudo-scalar meson masses within the SU(3) Nambu-Jona--Lasinio model
• Dimensional reduction and the generalized pion in a magnetic field within the NJL model
• Interaction field strength between a scalar particle and two massless vector bosons in presence of an external magnetic field
• ${\pi }^0\to 2\gamma$ decay under strong magnetic fields in the NJL model
• Gauge independence of pion masses in a magnetic field within the Nambu--Jona-Lasinio model