https://doi.org/10.1140/epjc/s10052-026-15328-5
Regular Article - Theoretical Physics
Entanglement through high-energy scattering in noncommutative quantum electrodynamics
Departamento de Física Teórica and IPARCOS, Facultad de Ciencias Físicas, Universidad Complutense de Madrid (UCM), 28040, Madrid, Spain
a
This email address is being protected from spambots. You need JavaScript enabled to view it.
Received:
24
September
2025
Accepted:
14
January
2026
Published online:
2
February
2026
We analyze the tree-level generation of entanglement through some key scattering processes in massless quantum electrodynamics on canonical noncomutative spacetime with space-space type of noncommutativity. The fermions in the noncommutative theory will be zero charge fermions. The scattering processes we shall study do not occur in ordinary Minkowski spacetime. We shall use the concurrence to characterize the amount of entanglement generated through a given scattering process. We shall show that, at tree-level, the concurrence for the scattering of two photons of opposite helicity is given by the same expression as in the case of the scattering of gluons in ordinary Minkowski spacetime. Thus, maximal entanglement is achieved if and only if the polar scattering angle is equal to 
. We also compute the concurrence for the head-on collision in the laboratory reference frame of two fermions of opposite helicity to obtain the same result as in the case of photon scattering. Finally, we shall study a type of collision at right angles in the laboratory frame of fermions with opposite helicity. We show that in the latter case the concurrence depends on energy of the incoming fermions, the noncommutativity matrix 
, the polar, 
, and azimuth angle, 
, of the zero-momentum frame of the incoming fermions. In this latter case we see that when 
there are values of for which no entanglement is generated.
© The Author(s) 2026
Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
Funded by SCOAP3.
