Pions in magnetic field at finite temperature

Abstract

Pions in external magnetic field are investigated in the frame of a Pauli-Villars regularized Nambu--Jona-Lasinio model. The meson propagators in terms of quark bubbles in Ritus and Schwinger schemes are analytically derived, and pion masses are numerically calculated in the Ritus scheme. For neutral and charged pions at finite temperature, there exist respectively one and three mass jumps at the corresponding Mott transition points, due to the discrete energy levels of the two constituent quarks in magnetic field.

8 pages, 2 figures

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• Recent progresses on QCD phases in a strong magnetic field -- views from Nambu--Jona-Lasinio model
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• Effects of the quark anomalous magnetic moment in the chiral symmetry restoration: magnetic catalysis and inverse magnetic catalysis
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• Neutral pseudoscalar and vector meson masses under strong magnetic fields in an extended NJL model: mixing effects
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• Effects of a parallel electromagnetic field in three-flavor Nambu--Jona-Lasinio model
• Magnetic field induced corrections to the NJL model coupling constant from vacuum polarization
• Functional renormalization group study of neutral and charged pion under magnetic fields in the quark-meson model
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• Magnetic field dependence of the neutral pion longitudinal screening mass in the linear sigma model with quarks
• Properties of neutral mesons in a hot and magnetized quark matter: size-dependent effects
• Charged meson masses under strong magnetic fields: gauge invariance and Schwinger phases
• Diquark and nucleons under strong magnetic fields in the NJL model
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• Exposing the effect of $p$-wave in pion triplet under the strong magnetic field
• Pion superfluid phase transition under external magnetic field including inverse magnetic catalysis effect
• Magnetic field effect on pion superfluid
• Effect of anomalous magnetic moment on the chiral transition at zero temperature in a strong magnetic field
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• The electromagnetic field effects in in-out and in-in formalisms
• Inverse magnetic catalysis and size-dependent effects on the chiral symmetry restoration
• Anisotropic gravitational waves induced by hypermagnetic fields during the electroweak phase transition epoch
• Strongly interacting matter in extreme magnetic fields
• Mass Spectra and Decay of Mesons under Strong External Magnetic Field
• Dimensional reduction and the generalized pion in a magnetic field within the NJL model
• Chiral Properties of $(2+1)$-Flavor QCD in Magnetic Fields at Zero Temperature
• Spectral function for pions in 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
• Light mesons around critical end points in $T-{\mu }_B-{\mu }_I-eB$ space