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Theory of the Magnetic Catalysis of Chiral Symmetry Breaking in QED

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arxiv hep-ph/9908320 v1 pith:XO2GK7G5 submitted 1999-08-10 hep-ph hep-th

Theory of the Magnetic Catalysis of Chiral Symmetry Breaking in QED

classification hep-ph hep-th
keywords equationsbreakingcatalysischiralmagneticsymmetrytheoryanalytically
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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The theory of the magnetic catalysis of chiral symmetry breaking in QED is developed. An approximation for the Schwinger-Dyson equations describing reliably this phenomenon is established, i.e., it is shown that there exists a consistent truncation of those equations in this problem. The equations are solved both analytically and numerically, and the dynamical mass of fermions is determined.

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Cited by 5 Pith papers

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

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

    hep-ph 2026-07 accept novelty 6.5

    In a background magnetic field the QED vertex decomposes into parallel and transverse structures even at tree level; the one-loop transverse anomalous magnetic moment is complex, forbids LLL-to-LLL transitions, and is...

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

    hep-ph 2026-07 conditional novelty 6.0

    A one-loop QED calculation finds a magnetic-field-induced transverse anomalous magnetic moment with Landau-level selection rules, zero LLL-to-LLL strength, and opposite signs for reverse transitions.

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

    hep-ph 2026-07 unverdicted novelty 5.0

    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...

  4. From Magnetic to Inverse Magnetic Catalysis: The Interplay of Quark and Gluon Mass Generation in Magnetic Fields

    hep-ph 2026-06 unverdicted novelty 5.0

    Coupled DSE solutions show gluon screening mass increase suppresses quark-gluon interaction and drives inverse magnetic catalysis near the chiral phase transition.

  5. Effect of anomalous magnetic moment of quarks on the phase structure and mesonic properties in the NJL model

    nucl-th 2019-07 unverdicted novelty 4.0

    In the two-flavor NJL model with anomalous magnetic moment of quarks, external magnetic field produces inverse magnetic catalysis and a magnetic-field-dependent drop in the Mott temperature for the Goldstone mode.