Pions in magnetic field at finite temperature

Mao, Shijun

doi:10.1103/physrevd.99.056005

Cited by 66 publications

(65 citation statements)

References 74 publications

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“…We found similar origins for the reductions of π 0 andρ + 1 masses in weak B region by adopting lowest Landau level approximation, that is, the linear response coefficients with respect to B are both negative. Due to the magnetic catalysis effect to chiral symmetry breaking or quark mass, NPSF can never happen in either NJL models even B is very strong, which is consistent with the previous findings [20,38,39,42]. While the emergence of vacuum superconductivity is delayed compared to point particle result in two-flavor case, it is completely avoided thanks to the splitting MCE among quarks in three-flavor case.…”

Section: Conclusion and Discussionsupporting

confidence: 89%

“…A. Intuition in lowest Landau level approximation It was found in the previous explorations that both π 0 andρ + 1 meson masses decrease with magnetic field in the weak field region [16,18,38,39], which may indicate NPSF and VSC, respectively, at sufficient strong magnetic field. The connection between NPSF and VSC has been briefly mentioned in Ref.…”

Section: Meson Spectra Within Two-flavor Nambu-jona-lasinio Modelmentioning

confidence: 99%

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Magnetic catalysis effect prevents vacuum superconductivity in strong magnetic fields

Cao

2019

Phys. Rev. D

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In the chiral effective Nambu-Jona-Lasinio (NJL) model with two-and three-flavor quarks, we demonstrate that the naively expected neutral pion (π 0 ) superfluidity (NPSF) and vacuum superconductivity (VSC) in constant magnetic field B = Bẑ are both disfavored, due to the well-known magnetic catalysis effect (MCE) to chiral symmetry breaking. Based on the simple two-flavor NJL model, we illuminate in the lowest Landau level approximation the similar origins of π 0 andρ + 1 (ρ + meson with spin Sz = 1) mass reductions with B and thus of NPSF and VSC tendencies. With the full Landau levels, the two-flavor NJL model is found to be invalid to study the magnetic field effect toρ + 1 meson with physical vacuum mass 775 MeV. Then, restricted to ρ meson mass below two-quark threshold in vacuum, that is m v ρ < 2m v q , it is found that π 0 mass decreases and then increases with B slowly, andρ + 1 mass vanishing point is delayed to larger B compared to the point particle result. In the more realistic three-flavor NJL model, all the quark masses split in strong magnetic field as a combinatorial result of their different current masses and electric charges. By choosing a vacuum mass closer to the physical one,ρ + 1 meson mass is found to be consistent with the LQCD results semi-quantitatively in smaller B region but increase in larger B region. These features are mainly outcomes of the interplay between the Sz − B coupling effect and splitting MCE to the composite u and d quarks, which definitely disfavors VSC when the latter dominates. Furthermore, mesonic flavor mixing is modified by B among the neutral pseudoscalars: π 0 , η0 and η8, which is very important to suppress the mass enhancement of the effective mass eigenstates at large B.

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Section: Conclusion and Discussionsupporting

confidence: 89%

Section: Meson Spectra Within Two-flavor Nambu-jona-lasinio Modelmentioning

confidence: 99%

Magnetic catalysis effect prevents vacuum superconductivity in strong magnetic fields

Cao

2019

Phys. Rev. D

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“…Perturbation theory at the tree level allows us to identify the pion decay constants as f π ¼ v. Finite temperature effects on this model have been studied by several authors, discussing the thermal evolution of masses, f π ðTÞ, the effective potential, etc., [12,[15][16][17][18][19][20][21][22][23][24].…”

Section: Linear Sigma Model and π-π Scatteringmentioning

confidence: 99%

“…Therefore, to explore the predictions of the LSM at finite temperature and a magnetic field in this context seems a necessary and, at least, academically interesting endeavor. The full interplay between finite temperature and a magnetic field is much less explored in the context of scattering lengths, but has nevertheless been recently considered, for instance, in the study of the evolution of the pion mass [12].…”

Section: Introductionmentioning

confidence: 99%

Thermomagnetic corrections to π−π scattering lengths in the linear sigma model

2019

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In this article, we extend our previous study of the π-π scattering lengths under the presence of an external magnetic field, including finite temperature effects. The novelty of this work is precisely the introduction of temperature into the discussion and its interplay with the magnetic field. As in the previous article, we base our analysis in the linear sigma model, and our calculations are exact within this context. Although the effects are comparatively small, it is interesting to remark that the magnetic field and temperature display opposite effects over the scattering lengths.

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“…In absence of magnetic field NJL model has also been used extensively to describe the physical properties of light scalar and pseudoscalar mesons [40,[60][61][62][63][64], which have a direct relevance with the dynamics of chiral phase transition. Progress have also been made in studying these lightest hadrons in a hot and dense magnetized medium [47,[65][66][67]. It was found that the minimum temperature for which the overlap interval starts in the crossover region increases with increasing magnetic field.…”

Section: Introductionmentioning

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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Pions in magnetic field at finite temperature

Cited by 66 publications

References 74 publications

Magnetic catalysis effect prevents vacuum superconductivity in strong magnetic fields

Magnetic catalysis effect prevents vacuum superconductivity in strong magnetic fields

Thermomagnetic corrections to π−π scattering lengths in the linear sigma model

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

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