Meson properties in magnetized quark matter

Wang, Ziyue; Zhuang, Pengfei

doi:10.1103/physrevd.97.034026

Cited by 68 publications

(61 citation statements)

References 33 publications

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“…Most recently, this work has been extended to the case with finite temperature and quark chemical potential [55]. In the future, this work can also be extended to three-flavor NJL model with the KMT determinant.…”

Section: Discussionmentioning

confidence: 99%

Nambu–Jona-Lasinio model in a parallel electromagnetic field

et al. 2018

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We explore the features of the U A (1) and chiral symmetry breaking of the Nambu-Jona-Lasinio model without the Kobayashi-Maskawa-'t Hooft determinant term in the presence of a parallel electromagnetic field. We show that the electromagnetic chiral anomaly can induce both finite neutral pion condensate and isospin-singlet pseudo-scalar η condensate and thus modifies the chiral symmetry breaking pattern. In order to characterize the strength of the U A (1) symmetry breaking, we evaluate the susceptibility associated with the U A (1) charge. The result shows that the susceptibility contributed from the chiral anomaly is consistent with the behavior of the corresponding η condensate. The spectra of the mesonic excitations are also studied.

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Section: Discussionmentioning

confidence: 99%

Nambu–Jona-Lasinio model in a parallel electromagnetic field

et al. 2018

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“…from which the MCE can be told directly, see Ref. [36] for more detailed discussions on the large B limit. Then, −D −1 π 0 π 0 (0) = m0 2mGS is positivedefinite and thus disfavors NPSF as verified in Ref.…”

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

confidence: 99%

“…First of all, it is important to emphasize that the first-principle lattice QCD (LQCD) simulations [6,7] greatly support the MCE in vacuum, that is, the chiral condensations (or likely quark masses) increase with magnetic field [32]. Then in the phase respect, inhomogeneous chiral symmetry breaking (χSB) phases might be favored for finite density system in the presence of magnetic field [33,34], vacuum superconductivity is assumed to happen at large enough magnetic field [15][16][17][18], and neutral pseudoscalar superfluidity can be found in parallel EM field [35][36][37].…”

Section: Introductionmentioning

confidence: 99%

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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“…In this work we focus on the effect of an intense external magnetic field on π meson properties. This issue has been studied in the last years following various theoretical approaches for low energy QCD, such as Nambu-Jona-Lasinio (NJL)-like models [7][8][9][10][11][12][13][14][15][16][17][18], quark-meson models [19,20], chiral perturbation theory (ChPT) [21][22][23], path integral Hamiltonians [24,25], effective chiral confinement Lagrangian approach (ECCL) [26,27], QCD sum rules (SRQCD) [28], etc. In addition, results for the light meson spectrum in the presence of background magnetic fields have been recently obtained from LQCD calculations [29][30][31][32][33].…”

Section: Introductionmentioning

confidence: 99%

Neutral and charged pion properties under strong magnetic fields in the NJL model

et al. 2019

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In the framework of the Nambu-Jona-Lasino (NJL) model, we study the effect of an intense external uniform magnetic field on neutral and charged pion masses and decay form factors. In particular, the treatment of charged pions is carried out on the basis of the Ritus eigenfunction approach to magnetized relativistic systems. Our analysis shows that in the presence of the magnetic field three and four nonvanishing pion-to-vacuum hadronic form factors can be obtained for the case of the neutral and charged pions, respectively. As expected, it is seen that for nonzero magnetic field the π 0 meson can still be treated as a pseudo Nambu-Goldstone boson, and consequently the corresponding form factors are shown to satisfy various chiral relations. For definite parametrizations of the model, numerical results for π 0 and π AE masses and decay constants are obtained and compared with previous calculations given in the literature.

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Meson properties in magnetized quark matter

Cited by 68 publications

References 33 publications

Nambu–Jona-Lasinio model in a parallel electromagnetic field

Nambu–Jona-Lasinio model in a parallel electromagnetic field

Magnetic catalysis effect prevents vacuum superconductivity in strong magnetic fields

Neutral and charged pion properties under strong magnetic fields in the NJL model

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