Feynman integral relations from parametric annihilators
Feynman integral relations from parametric annihilators
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DOI：
10.1007/s11005-018-1114-8
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发表时间：
2019-03-01
影响因子：
1.2
通讯作者：
Panzer, Erik
中科院分区：
文献类型：
--
作者：
Bitoun, Thomas;Bogner, Christian;Panzer, Erik
通过参数湮没算子研究了费曼积分通过梅林变换的位移关系。这些包含动量空间积分的部分关系，这是众所周知的物理文献。应用Loeser和Sabbah的一个结果，我们得出主积分的个数是由Lee-Pomeransky多项式的Euler特征来计算的.我们说明了技术来计算这个欧拉特性在各种例子中，并比较它与以前的作品中获得的主积分的数量。
We study shift relations between Feynman integrals via the Mellin transform through parametric annihilation operators. These contain the momentum space integration by parts relations, which are well known in the physics literature. Applying a result of Loeser and Sabbah, we conclude that the number of master integrals is computed by the Euler characteristic of the Lee-Pomeransky polynomial. We illustrate techniques to compute this Euler characteristic in various examples and compare it with numbers of master integrals obtained in previous works.