Connection between Feynman integrals having different values of the space-time dimension

Details Connection between Feynman integrals having different values of the space-time dimension Connection between Feynman integrals having different values of the space-time dimension

1996-06-04

arxiv.org/abs/hep-th/9606018v1

Phys.Rev. D54 (1996) 6479-6490

Physics

High Energy Physics

High Energy Physics - Theory

21 pages, LaTeX, uses axodraw.sty

Scientific paper

10.1103/PhysRevD.54.6479

A systematic algorithm for obtaining recurrence relations for dimensionally regularized Feynman integrals w.r.t. the space-time dimension $d$ is proposed. The relation between $d$ and $d-2$ dimensional integrals is given in terms of a differential operator for which an explicit formula can be obtained for each Feynman diagram. We show how the method works for one-, two- and three-loop integrals. The new recurrence relations w.r.t. $d$ are complementary to the recurrence relations which derive from the method of integration by parts. We find that the problem of the irreducible numerators in Feynman integrals can be naturally solved in the framework of the proposed generalized recurrence relations.

Affiliated with

Also associated with

No associations

Rating

Connection between Feynman integrals having different values of the space-time dimension does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Connection between Feynman integrals having different values of the space-time dimension, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Connection between Feynman integrals having different values of the space-time dimension will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-532923