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Enumerative Methods in Quantum Electrodynamics

High Energy Physics - Theory 2025-01-10 v4 Combinatorics Quantum Physics

Abstract

We show that observables in QED-type theories can be realized in terms of a combinatorial structure called chord diagrams. One advantage of this combinatorial representation is that it simplifies the study of the asymptotic behavior of corresponding Green functions. Particularly, using the new representation, there is no need to use the standard approach of singularity analysis. This relation also reveals the unexplained correlation between the number of Feynman diagrams in Yukawa theory and the diagrams in quenched QED.

Keywords

Cite

@article{arxiv.2011.04291,
  title  = {Enumerative Methods in Quantum Electrodynamics},
  author = {Ali Assem Mahmoud},
  journal= {arXiv preprint arXiv:2011.04291},
  year   = {2025}
}

Comments

arXiv admin note: text overlap with arXiv:2009.12688

R2 v1 2026-06-23T20:00:24.810Z