The Gegenbauer Polynomial Technique: the evaluation of complicated Feynman integrals

Abstract

We discuss a progress in calculation of Feynman integrals which has been done with help of the Gegenbauer Polynomial Technique and demonstrate the results for most complicated parts of O(1/N^3) contributions to critical exponents of \phi^4 -theory, for any spacetime dimensionality D.

Comments: 7 pages, latex. Talk presented at the Research Workshop "Calculations for Modern and Future Colliders" Dubna, July 2000, and at the XVth International Workshop "High Energy Physics and Quantum Field Theory", Tver, September 2000