Properties of magnetized neutral pions at zero and finite temperature in nonlocal chiral quark models

Abstract

The behavior of ${\pi }^0$ meson properties in the presence of a uniform external magnetic field is studied in the context of a nonlocal extension of the Polyakov-Nambu-Jona-Lasinio model. The analysis includes the ${\pi }^0$ mass, the effective ${\pi }^0$-quark coupling and the pion-to-vacuum hadronic form factors, both at zero and finite temperature. Numerical results are compared with previous calculations carried out within the local NJL model, when available. The validity of chiral relations and the features of deconfinement and chiral symmetry restoration transitions are discussed.

arXiv comment30 pages, 4 figures. arXiv admin note: text overlap with arXiv:1710.08950

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• Magnetic corrections to the boson self-coupling and boson-fermion coupling in the linear sigma model with quarks
• 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
• Strong-interaction matter under extreme conditions from chiral quark models with nonlocal separable interactions
• Magnetic field dependence of the neutral pion longitudinal screening mass in the linear sigma model with quarks
• Cold magnetized quark matter at finite density in a nonlocal chiral quark model
• Strongly interacting matter in extreme magnetic fields
• Thermomagnetic effects on light pseudo-scalar meson masses within the SU(3) Nambu-Jona--Lasinio model
• Gauge independence of pion masses in a magnetic field within the Nambu--Jona-Lasinio model