Light charged pion in ultra-strong magnetic field

Chao, Jingyi; Liu, Yu-Xin; Chang, Lei

doi:10.48550/arxiv.2007.14258

Cited by 4 publications

(4 citation statements)

References 26 publications

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“…In large B limit, we proved the gauge independence and obtained an asymptotic form for the pole mass, which implies an increasing feature with B. However, recent lattice simulations find an unexpected decreasing feature of π ± pole mass, so some important effects might be missing in NJL model, such as the recently proposed effect of anomalous magnetic moment [40]. That comprises the next step of our study of pion masses in NJL model.…”

Section: Discussionsupporting

confidence: 52%

Gauge independence of pion masses in a magnetic field within the Nambu--Jona-Lasinio model

Li,

Cao,

2020

Preprint

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In this paper, we mainly study both neutral and charged pions' properties in a constant magnetic field B at zero temperature within the Nambu-Jona-Lasinio model. By adopting the linear response theory based on imaginary-time path integral, we derive the correlation functions for pions in the coordinate space and the corresponding Schwinger phases show up automatically. The pole masses of charged pions are defined by their ground state energy following the conventions of lattice quantum chromodynamics. In this way, we are able to show the gauge invariance of the masses which increase monotonically with B as expected.

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Section: Discussionsupporting

confidence: 52%

Gauge independence of pion masses in a magnetic field within the Nambu--Jona-Lasinio model

Li,

Cao,

2020

Preprint

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“…For charged particles, Zeeman splitting is observed for different spin components, the mass spectra are considerably modified by quark loop polarization, but no nonmonotonic behavior for charged pion mass is observed [27,28,31,32,[38][39][40]. The AMM under magnetic field attracted quite lots of interests recently [23,[41][42][43][44][45][46][47][48][49][50][51][52][53][54][55]. The magnetic field catalyzes the chiral condensate, which is composed of pair of quark and antiquark with anti-parallel spins and carries net MM thus triggering dynamical anomalous magnetic moment(AMM) of quark [41,43,45].…”

Section: Introductionmentioning

confidence: 99%

Magnetism of QCD matter and pion mass from tensor-type spin polarization and anomalous magnetic moment of quarks

Lin,

Xu,

Huang

2022

Preprint

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We investigate the magnetism of QCD matter and pion mass under magnetic field considering the contribution from the tensor-type spin polarization and the anomalous magnetic moment (AMM) of quarks. It is found that the tensor-type spin polarization (TSP) induces the magnetic catalysis of chiral condensate and diamagnetism (negative magnetic susceptibility) of quark matter at low temperature, both neutral and charged pion masses increase quickly with magnetic field in the case of TSP. The anomalous magnetic moment (AMM) of quarks induces magnetic inhibition and a magnetic dependent AMM causes inverse magnetic catalysis at finite temperature, and the neutral pion mass decreases with magnetic field while the charged pion mass shows nonmonotonic behavior with the magnetic field, which is qualitatively in agreement with lattice result. However, the magnetic susceptibility is positive at low temperature with AMM. In the current framework, our results show the irreconcilable contradiction between the diamagnetism and inverse magnetic catalysis.

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“…Meson spectrum of QCD in the external magnetic field is of important interest by itself [16,26,[41][42][43][44][45][46][47], and in particular the mass of a neutral pion in the external magnetic field may be helpful to understand the reduction of T pc given that neutral pion is a Goldstone boson in the nonzero magnetic field. Besides that as implied from the QCD inequality [48] the mass sum of the up and down quark flavor components of the neutral pion is a lower bound of the mass of a charged ρ meson whose condensation could signal the transition of the QCD vacuum into a superconducting state in a sufficiently strong magnetic field [49,50].…”

Section: Introductionmentioning

confidence: 99%

Chiral properties of (2+1)-flavor QCD in strong magnetic fields at zero temperature

Ding,

Li,

Tomiya

et al. 2020

Preprint

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We present lattice QCD results for masses and magnetic polarizabilities of light and strange pseudo-scalar mesons, chiral condensates, decay constants of neutral pion and neutral kaon in the presence of background magnetic fields with eB ranging up to around 3.35 GeV 2 (∼ 70 M 2 π ) in the vacuum. The computations were carried out in (2+1)-flavor QCD on 32 3 × 96 lattices using the Highly Improved Staggered Quarks (HISQ) action with Mπ ≈ 220 MeV at zero temperature. We find that the masses of neutral pseudo-scalar mesons monotonously decrease as the magnetic field strength grows and then saturate at a nonzero value, while there exists a non-monotonous behavior of charged pion and kaon masses in the magnetic field. We observe a qB scaling of the up and down quark flavor components of neutral pion mass, neutral pion decay constant as well as the quark chiral condensates at 0.05 eB 3.35 GeV 2 . We show that the next-to-leading order chiral correction to the Gell-Mann-Oakes-Renner relation involving neutral pion is less than 6% and the correction for the relation involving neutral kaon is in the range of (56-72)% at eB 3.35 GeV 2 . We also derive the Ward-Takahashi identities for QCD in the magnetic field in the continuum formulation including the relation between neutral pseudo-scalar meson correlators and chiral condensates.

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Light charged pion in ultra-strong magnetic field

Cited by 4 publications

References 26 publications

Gauge independence of pion masses in a magnetic field within the Nambu--Jona-Lasinio model

Gauge independence of pion masses in a magnetic field within the Nambu--Jona-Lasinio model

Magnetism of QCD matter and pion mass from tensor-type spin polarization and anomalous magnetic moment of quarks

Chiral properties of (2+1)-flavor QCD in strong magnetic fields at zero temperature

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