Seiberg-Witten map invariant scatterings

Seiberg-Witten maps and scattering amplitudes of NCQED

“…Recently we have shown that the scattering amplitudes of all tree-level two-by-two scattering processes in a minimal U(1) noncommutative quantum electrodynamics (NCQED) model based on a reversible SW map are identical to the same theory without SW map [35]. We view this result as a strong suggestion that the aforementioned equivalence relation would be realized in tree-level scattering amplitudes as an identity.…”

“…One particular part of the two-by-two scattering amplitudes in 2 nd model, namely the collinear divergences, still follow those of the minimal/1 st model. Taking into account the nontrivial nature of the collinear divergences of the two-by-two scattering amplitudes of the 1 st model itself [35], it could be worthy to study the IR behaviour of the scattering amplitudes of both the 1 st and the 2 nd models in the future.…”

“…• First we have the 3-and 4-photon vertices from the U (1) NCYM without SW map, which generate the γγ → γγ scattering amplitude [35][36][37].…”

“…As starting example, let's re-examine the SW map invariance of γγ → γγ scattering amplitude found in [35]. Only the 3-and 4-photon vertices -( 1 V a 3 ) and ( 1 V a 4 )-from minimal/1 st model defined in Eqs.…”

UV/IR mixing in noncommutative SU(N) Yang–Mills theory

“…In the spirit of the Scattering amplitudes approach [62-66] such a model has been recently successfully applied to estimate a lower bound on the scale of noncommutativity [66,67] by comparison with ATLAS-LHC collaboration measurements of total cross sections for PbPb(γ γ ) → Pb * Pb * γ γ and PbPb(γ γ ) → Pb * Pb * + − reactions in the lead 208 Pb ion-ion collision experiments [68,69]. where Â(2) a μ (b, q) = Â(2) a μ (b, q = q), Â(2) a μ (q = q, q = q).…”