Multi-threaded adaptive extrapolation procedure for Feynman loop integrals in the physical region
Multi-threaded adaptive extrapolation procedure for Feynman loop integrals in the physical region
复制标题
物理区域费曼环积分的多线程自适应外推过程
DOI：
10.1088/1742-6596/454/1/012082
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发表时间：
2013
期刊：
影响因子：
--
通讯作者：
F Yuasa and R Assaf
中科院分区：
文献类型：
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作者：
E de Doncker;F Yuasa and R Assaf
在微扰量子场论中，费曼环积分出现在相互作用截面计算的高阶修正中。积分是计算密集型的，特别是考虑到可能发生在积分域内的奇点。对于阈值和红外奇异性的治疗，我们开发了使用迭代（重复）自适应积分和外推技术。在本文中，我们描述了一个共享内存并行化和它的应用程序的一个和两个循环的问题，通过多线程的外部积分的迭代积分。该实现是分层的，在OpenMP上，并保留了自适应过程的顺序方法。我们给出了与各种类型的图，包括一个循环盒，五边形，两个循环自能和两个循环顶点图的循环积分的性能结果。
Feynman loop integrals appear in higher order corrections of interaction cross section calculations in perturbative quantum field theory. The integrals are computationally intensive especially in view of singularities which may occur within the integration domain. For the treatment of threshold and infrared singularities we developed techniques using iterated (repeated) adaptive integration and extrapolation. In this paper we describe a shared memory parallelization and its application to one-and two-loop problems, by multi-threading in the outer integrations of the iterated integral. The implementation is layered over OpenMP and retains the adaptive procedure of the sequential method exactly. We give performance results for loop integrals associated with various types of diagrams including one-loop box, pentagon, two-loop self-energy and two-loop vertex diagrams.