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} }
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…
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