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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

V. P. Gusynin , V. A. Miransky , I. A. Shovkovy This is my paper · ORCID
classification hep-phhep-th
keywords equationsbreakingcatalysischiralmagneticsymmetrytheoryanalytically
verification ladder T0 review T1 audit T2 compute T3 formal
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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 6 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 Catalysis and Fermion Mass Generation in de Sitter Spacetime

    hep-th 2026-08 conditional novelty 6.0 of 10

    In de Sitter space with a background magnetic field, the field catalyzes chiral symmetry breaking while Hubble curvature restores it, with a second-order phase boundary.

  3. 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...

  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 of 10

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

  5. Influence of interactions on the chiral effect in $1D$ Dirac semimetal

    cond-mat.str-el 2026-08 conditional novelty 4.0 of 10

    For the interacting SSH model, QMC data show that the low-frequency response of chiral density to an electric field remains equal to the electrical conductivity, so local Hubbard interactions do not renormalize the 1D...

  6. 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 of 10

    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.

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