### Abstract

A detailed analysis is given of chiral-symmetry breaking in the large-flavor (N) limit of quantum electrodynamics in (2+1) dimensions. Analytical and numerical solutions of the homogeneous Dyson-Schwinger equation for the fermion self-energy combined with a computation of the effective potential for the fermion bilinear show that it is energetically preferable for the theory to dynamically generate a mass for fermions. The magnitude of the mass is roughly exponentially suppressed in N from the fundamental dimensionful scale N e2 of the gauge coupling constant, but the scale at which the self-mass begins to damp rapidly appears to be of order , so that there is no spontaneous breaking of an approximate scale invariance that the underlying theory possesses at momentum small compared to . Higher-order 1/N corrections are analyzed and it is shown that the 1/N expansion can be used consistently to demonstrate chiral-symmetry breaking. Open issues and possible improvements of the analysis are given and some avenues for future investigation suggested.

Original language | English (US) |
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Pages (from-to) | 3704-3713 |

Number of pages | 10 |

Journal | Physical Review D |

Volume | 33 |

Issue number | 12 |

DOIs | |

State | Published - Jan 1 1986 |

### ASJC Scopus subject areas

- Nuclear and High Energy Physics
- Physics and Astronomy (miscellaneous)

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## Cite this

*Physical Review D*,

*33*(12), 3704-3713. https://doi.org/10.1103/PhysRevD.33.3704