On the Hopf algebra structure of perturbative quantum field theories
Abstract
We show that the process of renormalization encapsules a Hopf algebra structure in a natural manner. This sheds light on the recently proposed connection between knots and renormalization theory.
- Publication:
-
eprint arXiv:q-alg/9707029
- Pub Date:
- July 1997
- DOI:
- 10.48550/arXiv.q-alg/9707029
- arXiv:
- arXiv:q-alg/9707029
- Bibcode:
- 1997q.alg.....7029K
- Keywords:
-
- Mathematics - Quantum Algebra;
- High Energy Physics - Theory
- E-Print:
- LaTeX, 23pages, uses epsf for 5 Figs., also available via http://dipmza.physik.uni-mainz.de/~kreimer/hopfn.ps, references updated