On the Hopf algebra structure of perturbative quantum field theories

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

SHOWING 1-10 OF 39 REFERENCES
Weight Systems from Feynman Diagrams
Quantum Groups
On knots in subdivergent diagrams
Tutorial on Infinities in QED
On the enumeration of irreducible k-fold Euler sums and their roles in knot theory and field theory
Feynman Diagrams as a weight system : fourloop test of a four - term relation , subm On Knots in Subdivergent Diagrams , to appear in Z
  • 1998
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