Feynman Graph Integrals on $\mathbb{C}^d$
Mathematical Physics
2025-12-04 v4 Geometric Topology
math.MP
Quantum Algebra
Abstract
We introduce a type of graph integrals which are holomorphic analogs of configuration space integrals. We prove their (ultraviolet) finiteness by considering a compactification of the moduli space of graphs with metrics, and study their failure to be holomorphic.
Cite
@article{arxiv.2401.08113,
title = {Feynman Graph Integrals on $\mathbb{C}^d$},
author = {Minghao Wang},
journal= {arXiv preprint arXiv:2401.08113},
year = {2025}
}
Comments
30 pages, 1 figure; Some typos have been corrected