Braided quantum electrodynamics

Marija Dimitrijević Ćirić, Nikola Konjik, Voja Radovanović*, Richard J. Szabo

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)
39 Downloads (Pure)

Abstract

The homotopy algebraic formalism of braided noncommutative field theory is used to define the explicit example of braided electrodynamics, that is, U(1) gauge theory minimally coupled to a Dirac fermion. We construct the braided L-algebra of this field theory and obtain the braided equations of motion, action functional and conserved matter current. The modifications of the electric charge conservation law due to the braided noncommutative deformation are described. We develop a braided generalization of Wick’s theorem, and use it to compute correlation functions of the braided quantum field theory using homological perturbation theory. Our putative calculations indicate that the braided theory does not contain the non-planar Feynman diagrams of conventional noncommutative quantum field theory, and that correlators do not exhibit UV/IR mixing.

Original languageEnglish
Article number211
JournalJournal of High Energy Physics
Volume2023
Issue number8
DOIs
Publication statusPublished - 31 Aug 2023

Keywords

  • BRST Quantization
  • Non-Commutative Geometry

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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