Gell-Mann - Oakes - Renner relation in a magnetic field at finite temperature

Abstract

In the first order of chiral perturbation theory the corrections to $F_{{\pi }^0}$ and $M_{{\pi }^0}$ in a magnetic field at finite temperature have been found. It was shown that they are shifted in such a manner that Gell-Mann - Oakes - Renner relation remains valid under these conditions.

6 pages, LaTeX2e

Cited by in corpus (57)

• Quantum field theory in a magnetic field: From quantum chromodynamics to graphene and Dirac semimetals
• Chiral Properties of Strong Interactions in a Magnetic Background
• Quark-hadron phase transition in a magnetic field
• Meson masses in electromagnetic fields with Wilson fermions
• Properties of neutral mesons in a hot and magnetized quark matter
• Chiral perturbation theory in a magnetic background - finite-temperature effects
• Weak decay constant of neutral pions in a hot and magnetized quark matter
• Chiral dynamics in a magnetic field from the functional renormalization group
• Magnetic Susceptibility of the Quark Condensate and Polarization from Chiral Models
• Charmonium Spectroscopy in Strong Magnetic Fields by QCD Sum Rules: S-Wave Ground States
• Chiral properties of (2+1)-flavor QCD in strong magnetic fields at zero temperature
• Thermal pions in a magnetic background
• Properties of magnetized neutral mesons within a full RPA evaluation
• Neutral and charged (pseduo)scalar mesons and diquarks under magnetic fields
• Pions in magnetic field at finite temperature
• Nambu-Goldstone mesons in strong magnetic field
• Magnetic field-dependence of the neutral pion mass in the linear sigma model coupled to quarks: The weak field case
• Strong-Field Physics in QED and QCD: From Fundamentals to Applications
• Heavy meson spectroscopy under strong magnetic field
• Neutral and charged pion properties under strong magnetic fields in the NJL model
• The Evolution of Meson Masses in a Strong Magnetic Field
• Neutral meson properties under an external magnetic field in nonlocal chiral quark models
• Weak decay of magnetized pions
• Meson supercurrents and the Meissner effect in the Sakai-Sugimoto model
• Hadrons in Strong Electric and Magnetic Fields
• Neutral pion mass in the linear sigma model coupled to quarks at arbitrary magnetic field
• Quark deconfinement and gluon condensate in a weak magnetic field
• Anomaly-Induced Inhomogeneous Phase in Quark Matter without the Sign Problem
• Chiral physics in the magnetic field with quark confinement contribution
• Anomalous low-temperature thermodynamics of QCD in strong magnetic fields
• "Splitting" magnetic catalysis effect prevents vacuum superconductivity in strong magnetic fields
• 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
• Octet Baryons in Large Magnetic Fields
• Chiral soliton lattice at next-to-leading order
• Neutral pseudoscalar and vector meson masses under strong magnetic fields in an extended NJL model: mixing effects
• Charged pseudoscalar and vector meson masses under strong magnetic fields in an extended NJL model
• Pion-to-vacuum vector and axial vector amplitudes and weak decays of pions in a magnetic field
• Properties of magnetized neutral pions at zero and finite temperature in nonlocal chiral quark models
• Masses of magnetized pseudoscalar and vector mesons in an extended NJL model: the role of axial vector mesons
• Chiral Perturbation Theory Analysis of the Quark Condensate in a Magnetic Field
• Charged meson masses under strong magnetic fields: gauge invariance and Schwinger phases
• QCD Thermodynamics and Neutral Pion in a Uniform Magnetic Field: Finite Volume Effects
• Magnetic focusing in atomic, nuclear and hadronic processes
• Diquark and nucleons under strong magnetic fields in the NJL model
• Pion Pressure in a Magnetic Field
• Towards a unified hadron-quark equation of state for neutron stars within the relativistic mean-field model
• Thermomagnetic Properties of QCD
• Quark Condensate in a Weak Magnetic Field
• Pion decay in magnetic fields
• Low-energy relation for the trace of the energy-momentum tensor in QCD and the gluon condensate in a magnetic field
• Thermomagnetic effects on light pseudo-scalar meson masses within the SU(3) Nambu-Jona--Lasinio model
• Chiral Properties of $(2+1)$-Flavor QCD in Magnetic Fields at Zero Temperature
• Magnetic field effect on nuclear matter from skyrmion crystal model
• Dimensional reduction and the generalized pion in a magnetic field within the NJL model
• ${\pi }^0\to 2\gamma$ decay under strong magnetic fields in the NJL model
• Photon emission from weakly magnetized neutral pions