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

Abstract

We present lattice QCD results for masses and magnetic polarizabilities of light and strange pseudoscalar 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${}^2$ ($\sim 70M_{\pi }^2$) in the vacuum. The computations were carried out in (2+1)-flavor QCD mostly on $32^3\times 96$ lattices using the highly improved staggered quark action with $M_{\pi }\approx$ 220 MeV at zero temperature. We find that the masses of neutral pseudoscalar mesons monotonously decrease as the magnetic field strength grows and then saturate at a nonzero value, while there exists a nonmonotonous 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 $\lesssim eB\lesssim$ 3.35 GeV${}^2$. We show that the correction to the Gell-Mann-Oakes-Renner relation involving the neutral pion is less than 6% and the correction for the relation involving neutral kaon is less than 30% at $eB\lesssim$ 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 integrated neutral pseudoscalar meson correlators and chiral condensates.

30 pages, 18 figures, updated to the published version in PRD

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Cited by in corpus (43)

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• Correlated Dirac Eigenvalues and Axial Anomaly in Chiral Symmetric QCD
• Fluctuations and correlations of net baryon number, electric charge and strangeness in a background magnetic field
• Chiral condensates and screening masses of neutral pseudoscalar mesons in thermomagnetic QCD medium
• Pion magnetic polarisability using the background field method
• Confining and chiral properties of QCD in extremely strong magnetic fields
• Baryon electric charge correlation as a magnetometer of QCD
• Impacts of (inverse) magnetic catalysis on screening masses of neutral pions and sigma mesons in hot and magnetized quark matter
• Magnetism of QCD matter and pion mass from tensor-type spin polarization and anomalous magnetic moment of quarks
• Light pseudo-scalar meson masses under strong magnetic fields within the SU(3) Nambu-Jona-Lasinio model
• Mass spectra of neutral mesons $K_0,{\pi }_0,\eta ,{\eta }^{\prime }$ at finite magnetic field, temperature and baryon chemical potential
• Charged pseudoscalar and vector meson masses under strong magnetic fields in an extended NJL model
• Neutral pseudoscalar and vector meson masses under strong magnetic fields in an extended NJL model: mixing effects
• Restriction on the form of quark anomalous magnetic moment from lattice QCD results
• Heavy quark dynamics in a strongly magnetized quark-gluon plasma
• QCD Equation of State at nonzero baryon density in external magnetic field
• Inverse magnetic catalysis and energy loss in holographic QCD model
• Magnetic field effect on hadron yield ratios and fluctuations in a hadron resonance gas
• Masses of magnetized pseudoscalar and vector mesons in an extended NJL model: the role of axial vector mesons
• Functional renormalization group study of neutral and charged pion under magnetic fields in the quark-meson model
• Magnetic field dependence of the neutral pion longitudinal screening mass in the linear sigma model with quarks
• Charged meson masses under strong magnetic fields: gauge invariance and Schwinger phases
• QCD Thermodynamics and Neutral Pion in a Uniform Magnetic Field: Finite Volume Effects
• Overview of the QCD phase diagram -- Recent progress from the lattice
• Chiral condensates and screening masses of neutral pseudoscalar mesons from lattice QCD at physical quark masses
• Chiral extrapolation of the charged-pion magnetic polarizability with Padé approximant
• Neutral pion mass in warm magnetized medium within Linear Sigma Model coupled to Quarks $\left({\text{LSM}}_q\right)$ framework
• Chiral extrapolation of the magnetic polarizability of the neutral pion
• Mass Spectra and Decay of Mesons under Strong External Magnetic Field
• Dirac Kondo effect under magnetic catalysis
• Thermomagnetic effects on light pseudo-scalar meson masses within the SU(3) Nambu-Jona--Lasinio model
• Strongly interacting matter in extreme magnetic fields
• Structure of heavy quarkonia in a strong magnetic field
• Dimensional reduction and the generalized pion in a magnetic field within the NJL model
• Axial inverse magnetic catalysis
• Chiral Properties of $(2+1)$-Flavor QCD in Magnetic Fields at Zero Temperature
• Spectral function for pions in magnetic field
• Dipole polarizabilities of light pseudoscalar mesons within the Domain Model of QCD vacuum
• ${\pi }^0\to 2\gamma$ decay under strong magnetic fields in the NJL model
• Landau-Zener-Stückelberg-Majorana dynamics of magnetized quarkonia
• Gauge independence of pion masses in a magnetic field within the Nambu--Jona-Lasinio model
• Chiral Symmetry Breaking and Pion Decay in a Magnetic Field
• Light mesons around critical end points in $T-{\mu }_B-{\mu }_I-eB$ space