solidot新版网站常见问题,请点击这里查看。
消息
本文已被查看4766次
Feynman Integrals and Intersection Theory. (arXiv:1810.03818v1 [hep-th])
来源于:arXiv
We introduce the tools of intersection theory to the study of Feynman
integrals, which allows for a new way of projecting integrals onto a basis. In
order to illustrate this technique, we consider Baikov representation of
maximal cuts in arbitrary space-time dimension. We introduce a minimal basis of
differential forms with logarithmic singularities on the boundaries of the
corresponding integration cycles. We give an algorithm for computing a basis
decomposition of an arbitrary maximal cut using the so-called intersection
numbers and describe two alternative ways of computing them. Furthermore, we
show how to obtain Pfaffian systems of differential equations for the basis
integrals using the same technique. All the steps are illustrated on the
example of a two-loop non-planar triangle diagram with a massive loop. 查看全文>>