### Abstract

We develop a systematic perturbation theory for amplitudes involving a single soliton (extended finite energy solution of a classical field theory). These methods allow one in principle to compute to any desired order quantum corrections to soliton masses, form factors and Green functions. The major technical problem encountered is an infrared divergence of the naive perturbation theory rules. This divergence is dominated by a modification of the usual functional methods so as to properly define the soliton as a momentum eigenstate. The extension of these methods to soliton-soliton scattering is discussed.

Original language | English (US) |
---|---|

Pages (from-to) | 29-55 |

Number of pages | 27 |

Journal | Nuclear Physics, Section B |

Volume | 93 |

Issue number | 1 |

DOIs | |

State | Published - Jul 14 1975 |

### All Science Journal Classification (ASJC) codes

- Nuclear and High Energy Physics

## Fingerprint Dive into the research topics of 'Quantum perturbation theory of solitons'. Together they form a unique fingerprint.

## Cite this

Callan, C. G., & Gross, D. J. (1975). Quantum perturbation theory of solitons.

*Nuclear Physics, Section B*,*93*(1), 29-55. https://doi.org/10.1016/0550-3213(75)90150-9