QCD determination of the magnetic field dependence of QCD and hadronic parameters

Abstract

A set of four Finite Energy QCD sum rules are used to determine the magnetic field dependence of the sum of the up- and down-quark masses of QCD, $(m_u+m_d)$, the pion decay constant $f_{\pi }$, the pion mass $m_{\pi }$, the gluon condensate, $⟨0|{\alpha }_s{G}^2|0⟩$, and the squared energy threshold for the onset of perturbative QCD, $s_0$, related to the Polyakov loop of lattice QCD.

arXiv comment11 pages, 10 figures, version to appear in Physical Review D

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Cited by in corpus (21)

• Neutral and charged pion properties under strong magnetic fields in the NJL model
• 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
• Magnetic field dependence of nucleon parameters from QCD sum rules
• Nucleon axial-vector coupling constant in magnetar environments
• Masses of magnetized pseudoscalar and vector mesons in an extended NJL model: the role of axial vector mesons
• Magnetic field dependence of the neutral pion longitudinal screening mass in the linear sigma model with quarks
• Axial coupling constant in a magnetic background
• Magnetic renormalons in a scalar self interacting $\lambda {\varphi }^4$ theory
• Charged meson masses under strong magnetic fields: gauge invariance and Schwinger phases
• Diquark and nucleons under strong magnetic fields in the NJL model
• Strongly interacting matter in extreme magnetic fields
• Thermomagnetic effects on light pseudo-scalar meson masses within the SU(3) Nambu-Jona--Lasinio model
• Magnetic effects of QCD parameters from finite energy sum rules
• Chiral Properties of $(2+1)$-Flavor QCD in Magnetic Fields at Zero Temperature
• The Yukawa potential under weak magnetic field
• ${\pi }^0\to 2\gamma$ decay under strong magnetic fields in the NJL model
• Finite-energy sum rules at finite chemical potential and zero temperature
• Light mesons around critical end points in $T-{\mu }_B-{\mu }_I-eB$ space