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Dynamical mass generation in strongly coupled Quantum Electrodynamics with weak magnetic fields

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arxiv hep-ph/0602209 v2 pith:32IJDL54 submitted 2006-02-22 hep-ph hep-th

classification hep-phhep-th
keywords fieldmagneticmassweakgenerationcasecouplingcritical
verification ladder T0 review T1 audit T2 compute T3 formal
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We study the dynamical generation of masses for fundamental fermions in quenched quantum electrodynamics in the presence of weak magnetic fields using Schwinger-Dyson equations. Contrary to the case where the magnetic field is strong, in the weak field limit the coupling should exceed certain critical value in order for the generation of masses to take place, just as in the case where no magnetic field is present. The weak field limit is defined as eB << m(0)^2, where m(0) is the value of the dynamically generated mass in the absence of the field. We carry out a numerical analysis to study the magnetic field dependence of the mass function above critical coupling and show that in this regime the dynamically generated mass and the chiral condensate for the lowest Landau level increase proportionally to (eB)^2.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. QED vertex and anomalous magnetic moment in the presence of a magnetic field

    hep-ph 2026-07 unverdicted novelty 6.5 of 10

    In a magnetic field the QED fermion–photon vertex already splits at tree level into longitudinal and transverse pieces, and one-loop corrections generate direction-dependent anomalous magnetic moments with selection r...

  2. Magnetic field modifications to the pion-quark vertex in the Linear Sigma Model with quarks

    hep-ph 2026-08 reject novelty 5.0 of 10

    The magnetic field modifies the pion-quark vertex in the Linear Sigma Model; a tree-level modification vanishes after summing Landau levels, and the claimed one-loop LLL identity between Ritus and Schwinger methods fa...

  3. Photon radiation induced by rescattering in strong-interacting medium with a magnetic field

    nucl-th 2025-10 unverdicted novelty 5.0 of 10

    Photon emission rate and electromagnetic energy loss from rescattering in magnetized QGP are derived in the high-energy limit, showing slight suppression over broad jet energies.

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