Quantum perturbation theory of solitons

Curtis Gove Callan, David J. Gross

Research output: Contribution to journalArticlepeer-review

114 Scopus citations


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 languageEnglish (US)
Pages (from-to)29-55
Number of pages27
JournalNuclear Physics, Section B
Issue number1
StatePublished - Jul 14 1975

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics


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