### Abstract

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.

Original language | English (US) |
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Pages (from-to) | 361-389 |

Number of pages | 29 |

Journal | Nuclear Physics B |

Volume | 563 |

Issue number | 1-2 |

DOIs | |

State | Published - Dec 6 1999 |

Externally published | Yes |

### Keywords

- Chiral symmetry
- Magnetic field
- Quantum electrodynamics

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

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## Cite this

Gusynin, V. P., Miransky, V. A., & Shovkovy, I. A. (1999). Theory of the magnetic catalysis of chiral symmetry breaking in QED.

*Nuclear Physics B*,*563*(1-2), 361-389. https://doi.org/10.1016/S0550-3213(99)00573-8