A BPHZ Theorem in Configuration Space
Mathematical Physics
2021-09-28 v3 math.MP
Abstract
The concept of BPHZ renormalization is translated into configuration space. After deriving the counterpart for the regularizing Taylor subtraction, a new version of Zimmermann's convergence theorem by means of the forest formula is proved. Furthermore, a sufficient condition on the algebraic decay of the integrand is formulated such that the constant coupling limit exists in the new setting.
Cite
@article{arxiv.1706.06762,
title = {A BPHZ Theorem in Configuration Space},
author = {Steffen Pottel},
journal= {arXiv preprint arXiv:1706.06762},
year = {2021}
}
Comments
21 pages, v3: minor clarifications