Explicit solutions of the multi-loop integral recurrence relations and its application

Abstract

The approach to the constructing explicit solutions of the recurrence relations for multi-loop integrals are suggested. The resulting formulas demonstrate a high efficiency, at least for 3-loop vacuum integrals case. They also produce a new type of recurrence relations over the space-time dimension.

Comments: LaTeX, 5 pages, no figures, Talk given at 5th International Workshop on New Computing Techniques in Physics Research: Software Engineering, Neural Nets, Genetic Algorithms, Expert Systems, Symbolic Algebra, Automatic Calculations (AIHENP 96), Lausanne, Switzerland, 2-6 Sep 1996