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Seiberg-Witten maps and scattering amplitudes of NCQED

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arxiv 2111.04154 v2 pith:Y6HHCAPB submitted 2021-11-07 hep-th

classification hep-th
keywords amplitudesncqedscatteringseiberg-wittentree-levelminimalmoyalother
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The connection between tree-level scattering amplitudes and the Seiberg-Witten (SW) map in the Moyal deformed U(1) noncommutataive 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 risibility of SW map and equivalence between NCQED before and after SW map manifest themselves as an identity between the tree-level scattering amplitudes.

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  1. Entanglement through high-energy scattering in noncommutative quantum electrodynamics

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    In noncommutative QED, tree-level photon and head-on fermion scattering with opposite helicities give the same concurrence as gluon scattering, maximal at a 90-degree scattering angle, while a right-angle fermion coll...

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