Automatic Integral Reduction for Higher Order Perturbative Calculations.

Anastasiou, C. ; Lazopoulos, A.

Technical Information Center Oak Ridge Tennessee

关键词: Perturbation theory;    Integrals;    Calculation methods;    Reduction;    Algorithms;   

RP-ID  :  DE2004826953

学科分类：工程和技术（综合）

美国|英语

来源: National Technical Reports Library

【 摘 要 】

We present a program for the reduction of large systems of integrals to master integrals. The algorithm was first proposed by Laporta; in this paper, we implement it in MAPLE. We also develop two new features which keep the size of intermediate expressions relatively small throughout the calculation. The program requires modest input information from the user and can be used for generic calculations in perturbation theory.