Neutral meson properties under an external magnetic field in nonlocal chiral quark models

Abstract

We study the behavior of neutral meson properties in the presence of a static uniform external magnetic field in the context of nonlocal chiral quark models. The formalism is worked out introducing Ritus transforms of Dirac fields, which allow to obtain closed analytical expressions for ${\pi }^0$ and $\sigma$ meson masses and for the ${\pi }^0$ decay constant. Numerical results for these observables are quoted for various parameterizations. In particular, the behavior of the ${\pi }^0$ meson mass with the magnetic field is found to be in good agreement with lattice QCD results. It is also seen that the Goldberger-Treiman and Gell-Mann-Oakes-Renner chiral relations remain valid within these models in the presence of the external magnetic field.

27 pages, 3 figures

References in corpus (12)

• 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
• The Importance of Asymptotic Freedom for the Pseudocritical Temperature in Magnetized Quark Matter
• Inverse magnetic catalysis for the chiral transition induced by thermo-magnetic effects on the coupling constant
• Meson masses in electromagnetic fields with Wilson fermions
• Nonlocal SU(3) chiral quark models at finite temperature: the role of the Polyakov loop
• On covariant nonlocal chiral quark models with separable interactions
• Nonlocal chiral quark models with wavefunction renormalization: sigma properties and π-πscattering parameters
• Magnetic catalysis and inverse magnetic catalysis in nonlocal chiral quark models
• Effect of Quark Dimension Reduction on Goldstone Mode in Magnetic Field
• Strong magnetic fields in nonlocal chiral quark models
• Pion radiative weak decays in nonlocal chiral quark models

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• Light mesons around critical end points in $T-{\mu }_B-{\mu }_I-eB$ space
• Chiral Symmetry Breaking and Pion Decay in a Magnetic Field