On the Hopf algebra structure of perturbative quantum field theories

@article{Kreimer1997OnTH,
  title={On the Hopf algebra structure of perturbative quantum field theories},
  author={Dirk Kreimer},
  journal={Advances in Theoretical and Mathematical Physics},
  year={1997},
  volume={2},
  pages={303-334}
}
  • D. Kreimer
  • Published 23 July 1997
  • Mathematics, Physics
  • Advances in Theoretical and Mathematical Physics
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. 
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