Dimensional regularization in position space and a Forest Formula for Epstein-Glaser renormalization
Dimensional regularization in position space and a Forest Formula for Epstein-Glaser renormalization
We reformulate dimensional regularization as a regularization method in position space and show that it can be used to give a closed expression for the renormalized time-ordered products as solutions to the induction scheme of Epstein-Glaser. For scalar fields the resulting renormalization method is always applicable, we compute several examples. …