Quark gap equation in an external magnetic field

Abstract

The nonperturbative quark gap equation under the rainbow truncation and with two versions of a phenomenological one-gluon exchange interaction is studied in the presence of a uniform external magnetic field, with emphasis on the small field limit. The chiral quark condensate, magnetic moment and susceptibility are calculated and compared to recent lattice data.

19 pages, 7 figures

References in corpus (8)

• Chiral Properties of Strong Interactions in a Magnetic Background
• Chiral symmetry breaking with lattice propagators
• Two-color QCD with staggered fermions at finite temperature under the influence of a magnetic field
• Magnetic Susceptibility of the Quark Condensate and Polarization from Chiral Models
• Dynamical mass generation in QED with magnetic fields: arbitrary field strength and coupling constant
• A renormalization group approach for QCD in a strong magnetic field
• Dynamical mass generation in strongly coupled Quantum Electrodynamics with weak magnetic fields
• Chiral asymmetry in QED matter in a magnetic field

Cited by in corpus (27)

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• New look at the QCD ground state in a magnetic field
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• Magnetic field effects on the static quark potential at zero and finite temperature
• Charmonium Spectroscopy in Strong Magnetic Fields by QCD Sum Rules: S-Wave Ground States
• Dynamical quark mass generation in a strong external magnetic field
• D mesons in a magnetic field
• Heavy meson spectroscopy under strong magnetic field
• Magnetic catalysis and inverse magnetic catalysis in nonlocal chiral quark models
• Transverse Takahashi Identities and Their Implications for Gauge Independent Dynamical Chiral Symmetry Breaking
• Neutral meson properties under an external magnetic field in nonlocal chiral quark models
• Confining and chiral properties of QCD in extremely strong magnetic fields
• Strong magnetic fields in nonlocal chiral quark models
• Low energy constituent quark and pion effective couplings in a weak external magnetic field
• Gauge-invariant field-strength correlators for QCD in a magnetic background
• Properties of magnetized neutral pions at zero and finite temperature in nonlocal chiral quark models
• The quark mass gap in strong magnetic fields
• SU(2) low energy quark effective couplings in weak external magnetic field
• Fluctuations and magnetoresistance oscillations near the half-filled Landau level
• Charged meson masses under strong magnetic fields: gauge invariance and Schwinger phases
• Chiral asymmetry in cold QED plasma in a strong magnetic field
• Anatomy of the magnetic catalysis by renormalization-group method
• Mesons in strong magnetic fields: (I) General analyses
• Magnetic susceptibility of the QCD vacuum in a nonlocal SU(3) PNJL model
• Quark condensate and magnetic moment in a strong magnetic field
• Split gluon masses in $SU(N)\times SU(M)$ theories