### Abstract

It is shown that in 3 + 1 dimensions, a constant magnetic field is a catalyst of dynamical chiral symmetry breaking, leading to the generation of a fermion mass even at the weakest attractive interaction between fermions. The essence of this effect is the dimensional reduction D → D - 2(3 + 1 → 1 + 1) in the dynamics of fermion pairing in a magnetic field. The effect is illustrated in the Nambu-Jona-Lasinio model. Possible applications of this effect are briefly discussed.

Original language | English (US) |
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Pages (from-to) | 477-483 |

Number of pages | 7 |

Journal | Physics Letters B |

Volume | 349 |

Issue number | 4 |

DOIs | |

State | Published - Apr 27 1995 |

Externally published | Yes |

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

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## Cite this

Gusynin, V. P., Miransky, V. A., & Shovkovy, I. A. (1995). Dimensional reduction and dynamical chiral symmetry breaking by a magnetic field in 3 + 1 dimensions.

*Physics Letters B*,*349*(4), 477-483. https://doi.org/10.1016/0370-2693(95)00232-A