论文标题
KIRA 2.0和有限场方法的积分减少
Integral Reduction with Kira 2.0 and Finite Field Methods
论文作者
论文摘要
我们介绍了Feynman Integral降低程序KIRA的新版本2.0，并描述了新功能。主要的新功能是通过有限的野外方法在逐件逐步降低的集成中重建最终系数。该过程可以在具有MPI的计算机簇上并行。此外，对用户提供的方程式系统的支持已得到显着改善。这种模式可以灵活地将KIRA集成到采用专门减少公式，直接减少幅度或涉及不限于标准Feynman积分之间关系的线性系统的问题上。我们展示了最先进的Feynman积分减少问题的示例，并提供了新功能的基准，证明了主要记忆使用情况并改善了性能W.R.T. Kira的先前版本。
We present the new version 2.0 of the Feynman integral reduction program Kira and describe the new features. The primary new feature is the reconstruction of the final coefficients in integration-by-parts reductions by means of finite field methods with the help of FireFly. This procedure can be parallelized on computer clusters with MPI. Furthermore, the support for user-provided systems of equations has been significantly improved. This mode provides the flexibility to integrate Kira into projects that employ specialized reduction formulas, direct reduction of amplitudes, or to problems involving linear system of equations not limited to relations among standard Feynman integrals. We show examples from state-of-the-art Feynman integral reduction problems and provide benchmarks of the new features, demonstrating significantly reduced main memory usage and improved performance w.r.t. previous versions of Kira.
