• DOI:10.1134/S1063778808050219
• Corpus ID: 8387122

Operator approach to analytical evaluation of Feynman diagrams

@article{Isaev2007OperatorAT,
  title={Operator approach to analytical evaluation of Feynman diagrams},
  author={A. P. Isaev},
  journal={Physics of Atomic Nuclei},
  year={2007},
  volume={71},
  pages={914-924}
}

• A. Isaev
• Published 4 September 2007
• Physics
• Physics of Atomic Nuclei

The operator approach to analytical evaluation of multiloop Feynman diagrams is proposed. We show that the known analytical methods of evaluation of massless Feynman integrals, such as the integration-by-parts method and the method of “uniqueness” (which is based on the star-triangle relation), can be drastically simplified by using this operator approach. To demonstrate the advantages of the operator method of analytical evaluation of multiloop Feynman diagrams, we calculate ladder diagrams for the massless ϕ3 theory (analytical results for these diagrams are expressed in terms of multiple polylogarithms). It is shown how operator formalism can be applied to calculation of certain massive Feynman diagrams and investigation of the Lipatov integrable chain model.