Efficient GPU Integration for Multi-loop Feynman Diagrams with Massless Internal Lines
Efficient GPU Integration for Multi-loop Feynman Diagrams with Massless Internal Lines
复制标题
具有无质量内部线的多循环费曼图的高效 GPU 集成
DOI：
10.1007/978-3-030-27053-7_62
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发表时间：
2019
期刊：
影响因子：
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通讯作者：
Ahmed H. Almulihi
中科院分区：
文献类型：
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作者：
E. Doncker;F. Yuasa;Ahmed H. Almulihi
我们计算Feynman循环积分或膨胀系数的自能图与无质量的内部线，并产生有限的积分值或UV发散。在UV发散的情况下，维度正则化可以使用线性外推来实现，因为维度正则化参数趋于零。数值积分采用格点法和复合格点法，结合消除边界奇异性的变换，并在CUDA C语言中实现。与其他数值方法和架构相比，GPU结果在执行时间上是准确和高效的。
We compute Feynman loop integrals or expansion coefficients for sets of self-energy diagrams with massless internal lines and which give rise to either finite integral values or UV-divergences. In case of UV-divergence, dimensional regularization can be implemented using a linear extrapolation as the dimensional regularization parameter tends to zero. The numerical integration is performed with lattice and composite lattice rules combined with a transformation to alleviate boundary singularities, and implemented in CUDA C. The GPU results are accurate and efficient in execution time compared to other numerical methods and architectures.