English

Mixed Hodge Structures and Renormalization in Physics

High Energy Physics - Theory 2009-02-05 v3 Algebraic Geometry

Abstract

We relate renormalization in perturbative quantum field theory to the theory of limiting mixed Hodge structures using parametric representations of Feynman graphs.

Keywords

Cite

@article{arxiv.0804.4399,
  title  = {Mixed Hodge Structures and Renormalization in Physics},
  author = {Spencer Bloch and Dirk Kreimer},
  journal= {arXiv preprint arXiv:0804.4399},
  year   = {2009}
}

Comments

48 pages, more expository details added, typos corrected

R2 v1 2026-06-21T10:35:11.577Z