High Energy Physics - Theory · arXiv:hep-th/0202110 v3 · submitted 18 Feb 2002
Structures in Feynman Graphs -Hopf Algebras and Symmetries
The paper says
“The consequences in terms of unique factorization of Dyson–Schwinger equations into Euler products are discussed.”
from the abstract · picked out as the main claim by a classifier
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The paper
Abstract
We review the combinatorial structure of perturbative quantum field theory with emphasis given to the decomposition of graphs into primitive ones. The consequences in terms of unique factorization of Dyson–Schwinger equations into Euler products are discussed.
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abstract compiled · 2026-09-23 · no language-model review
How the main claim is stated: asserted 0.69
What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.06 · human participants 0.02 · controlled comparison 0.01 · randomized assignment 0.01 · states quantitative result 0.03 · compares with prior results 0.06 · mentions code or data availability 0.02
The abstract, sentence by sentence
This table labels the abstract only (arXiv listing abstract v3). The number is the probability the classifier gave the label.
| Sentence | Role | The authors' own work | States the main conclusion | Strength |
|---|---|---|---|---|
| We review the combinatorial structure of perturbative quantum field theory with emphasis given to the decomposition of graphs into primitive ones. | contribution 0.75 | 0.22 | 0.16 | asserted 0.80 |
| The consequences in terms of unique factorization of Dyson--Schwinger equations into Euler products are discussed. | interpretation 0.77 | 0.37 | 0.32 | asserted 0.69 |
What kind of paper the classifier reports this is: review 1.00 · evidence from literature 0.58
What was examined, and what was not
Sources read
- arXiv listing abstract v3
Not examined
- full text
- figures and tables
- references and citing sentences
- relations to other papers
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- P abstract
Not run
- S sections
- T body sentences
- C citations
- R cross-paper relations
How the labels were made
Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 2,237 input tokens, $0.0001 reported.
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Cited by 1 Pith paper
Reviewed papers on Pith that cite this one. The full citation record
- Anatomy of a gauge theory hep-th · Sep 2005
How the literature uses it
4 arXiv papers cite this in 8 sentences
Papers citing it · 7 sentences without a confident label
Cites it as background 1 paper
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Ever since there has been an important amount of work with respect to this new class of Hopf algebras (for a general review see for example [ref] ).
Hopf algebra of non-commutative field theory · Introduction and motivation · 0.99
Challenges and discussion
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