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Cited by 420

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On the Hopf algebra structure of perturbative quantum field theories

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Kreimer, Dirk·1998·Advances in Theoretical and Mathematical Physics

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.

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Crossref · 10.4310/atmp.1998.v2.n2.a4

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Metadata

Authors
Kreimer, D.
Venue
Advances in Theoretical and Mathematical Physics
Published
1998
Volume
2
Issue
2
Pages
303-334
ISSN
  • 1095-0753 (ISSN-L)
  • 1095-0761
OpenAlex
W1667848118
Cited by
420
References
0
FWCI
28.04
Type
journal article
Language
en
Open access
bronze

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CoChat. (2026). Citation check: On the Hopf algebra structure of perturbative quantum field theories. https://app.cochat.ai/papers/10.4310/atmp.1998.v2.n2.a4
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Kreimer, D. (1998). On the Hopf algebra structure of perturbative quantum field theories. Advances in Theoretical and Mathematical Physics. https://doi.org/10.4310/atmp.1998.v2.n2.a4

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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.