Seiberg-Witten maps and scattering amplitudes of noncommutative QED

Trampetić, Josip; You, Jiangyang (2022) Seiberg-Witten maps and scattering amplitudes of noncommutative QED. Physical Review D, 105 (7). ISSN 2470-0010

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Abstract

The connection between tree-level scattering amplitudes and the Seiberg-Witten (SW) map in the Moyal deformed U(1) noncommutative quantum electrodynamics (NCQED) is studied. We show that in the minimal U(1) NCQED based on a reversible Seiberg-Witten (SW) map, SW map induced interactions cancel each other in all tree-level scattering amplitudes and leave them identical to the Moyal NCQED without SW map. On the other hand, the two-by-two Compton and light-by-light scattering amplitudes deviate from minimal model when irreversible SW map is used. Therefore the reversibility of SW map and equivalence between NCQED before and after SW map manifest as an identity between the tree-level scattering amplitudes.

Item Type:	Article
Uncontrolled Keywords:	Noncommutative field theories ; Quantum electrodynamics ; Quantum field theory
Subjects:	NATURAL SCIENCES > Physics
Divisions:	Division of Physical Chemistry
Depositing User:	Ema Buhin Šaler
Date Deposited:	18 May 2026 10:04
URI:	https://fulir.irb.hr:/id/eprint/11962
DOI:	10.1103/PhysRevD.105.075016

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