On Feynman graphs, matroids, and GKZ-systems
On Feynman graphs, matroids, and GKZ-systems
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DOI：
10.1007/s11005-022-01614-2
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发表时间：
2022-06
影响因子：
1.2
通讯作者：
U. Walther
中科院分区：
文献类型：
--
作者：
U. Walther
在几个重要的例子中，我们证明了通过将被积函数的系数看作不定式而得到的，附在Lee-Pomeransky形式的费曼图上的a -超几何系统具有正规的下半群。这延续了由Klausen发起并由Helmer和Tellander研究的探索。在此过程中，我们确定了几个与情况相关的拟阵，并探讨了它们之间的关系。
We show in several important cases that theA-hypergeometric system attached to a Feynman diagram in Lee–Pomeransky form, obtained by viewing the coefficients of the integrand as indeterminates, has a normal underlying semigroup. This continues a quest initiated by Klausen and studied by Helmer and Tellander. In the process, we identify several relevant matroids related to the situation and explore their relationships.