English

Habilitationsschrift: Renormalization and Knot Theory

q-alg 2011-06-20 v2 High Energy Physics - Theory Quantum Algebra

Abstract

We investigate to what extent renormalization can be understood as an algebraic manipulation on concatenated one-loop integrals. We find that the resulting algebra indicates a useful connection to knot theory as well as number theory and report on recent results in support of this connection.

Keywords

Cite

@article{arxiv.q-alg/9607022,
  title  = {Habilitationsschrift: Renormalization and Knot Theory},
  author = {Dirk Kreimer},
  journal= {arXiv preprint arXiv:q-alg/9607022},
  year   = {2011}
}

Comments

103 pages with 61 figures, uses LaTeX with epsf. Habilschrift. References updated, few minor Typos corrected

R2 v1 2026-07-22T19:21:20.945Z