Hadronic matter under an external magnetic field: In-medium modification of the pion mass

Aguirre, R.

doi:10.1103/physrevd.95.074029

Cited by 10 publications

(3 citation statements)

References 30 publications

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“…It is worth noting that, the corresponding coordinate space Schwinger propagator contains a gauge dependent phase factor which gets canceled for the calculation of loop graphs containing equally charged particles. The expression for S B (k) for a particular quark flavour f including the AMM of quarks is given by [84] S…”

Section: Meson Properties In the Njl-modelmentioning

confidence: 99%

Effect of the anomalous magnetic moment of quarks on the phase structure and mesonic properties in the NJL model

et al. 2019

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Employing a field dependent three-momentum cut-off regularization technique, we study the phase structure and mesonic masses using the 2-flavour Nambu-Jona Lasinio model at finite temperature and density in presence of arbitrary external magnetic field. This approach is then applied to incorporate the effects of the anomalous magnetic moment(AMM) of quarks on constituent quark mass and thermodynamic observables as a function of temperature/baryonic density. The critical temperature for transition from chiral symmetry broken to the restored phase is observed to decrease with the external magnetic field, which can be classified as inverse magnetic catalysis, while an opposite behaviour is realized in the case of a vanishing magnetic moment, implying magnetic catalysis. These essential features are also reflected in the phase diagram. Furthermore, the properties of the low lying scalar and neutral pseudoscalar mesons are also studied in presence of a hot and dense magnetized medium including AMM of the quarks using random phase approximation. For non-zero values of magnetic field, we notice a sudden jump in the mass of the Goldstone mode at and above the Mott transition temperature which is found to decrease substantially with the increase in magnetic field when the AMM of the quarks are taken into consideration.

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Section: Meson Properties In the Njl-modelmentioning

confidence: 99%

Effect of the anomalous magnetic moment of quarks on the phase structure and mesonic properties in the NJL model

et al. 2019

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“…Other approaches can be found in [19,20,25,26]. Taking Fourier transform to momentum space and decomposing over the Landau pole [27], the propagator is…”

Section: The Lightest Landau Level Approximationmentioning

confidence: 99%

Light charged pion in ultra-strong magnetic field

Chao,

Liu,

Chang

2020

Preprint

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In this work, the mass of charged pions is investigated in the presence of background magnetic fields stronger than the energy scale of QCD. We introduce an anomaly magnetic momentum term in the Dirac equation and obtain the quark propagator as consequence. We find a novel finite Landau level, denoted as tlLL, becoming dominant rather than the conventional lowest Landau level. We examine that, due to the shifting of Landau level, it drives a mass decreasing around eB ∼ 0.8 GeV 2 for charged pions and their masses drastically limit to the neutral one at ultra-strong magnetic field, eB ∼ 1.6 GeV 2 , which is consistent with the recent lattice simulation.

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“…It is advantageous to use this approximate expression to obtain the effective mass of the nucleons as, in this case, µ B can be analytically expressed in terms of ρ B providing useful simplifications in the numerics. However, to check the validity of the approximations, it is reasonable to incorporate this magnetic modifications in the expression for the net baryon density which now becomes [55,56]…”

Section: Effective Mass Of Nucleon In Walecka Modelmentioning

confidence: 99%

Effect of external magnetic fields on nucleon mass in a hot and dense medium: Inverse magnetic catalysis in the Walecka model

et al. 2018

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Vacuum to nuclear matter phase transition has been studied in presence of constant external background magnetic field with the mean field approximation in Walecka model. The anomalous nucleon magnetic moment has been taken into account using the modified "weak" field expansion of the fermion propagator having non-trivial correction terms for charged as well as for neutral particles. The effect of nucleon magnetic moment is found to favour the magnetic catalysis effect at zero temperature and zero baryon density. However, extending the study to finite temperatures, it is observed that the anomalous nuclear magnetic moment plays a crucial role in characterizing the qualitative behaviour of vacuum to nuclear matter phase transition even in case of the weak external magnetic fields . The critical temperature corresponding to the vacuum to nuclear medium phase transition is observed to decrease with the external magnetic field which can be identified as the inverse magnetic catalysis in Walecka model whereas the opposite behaviour is obtained in case of vanishing magnetic moment indicating magnetic catalysis.

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Hadronic matter under an external magnetic field: In-medium modification of the pion mass

Cited by 10 publications

References 30 publications

Effect of the anomalous magnetic moment of quarks on the phase structure and mesonic properties in the NJL model

Effect of the anomalous magnetic moment of quarks on the phase structure and mesonic properties in the NJL model

Light charged pion in ultra-strong magnetic field

Effect of external magnetic fields on nucleon mass in a hot and dense medium: Inverse magnetic catalysis in the Walecka model

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