Seiberg-Witten maps and scattering amplitudes of noncommutative QED
Josip Trampetić, Jiangyang You
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.
Topics & Concepts
Noncommutative geometryScattering amplitudeScatteringPhysicsAmplitudeCompton scatteringEquivalence (formal languages)Connection (principal bundle)Tree (set theory)Quantum electrodynamicsMathematical physicsQuantum mechanicsGeometryMathematicsPure mathematicsMathematical analysisNoncommutative and Quantum Gravity TheoriesBlack Holes and Theoretical PhysicsQuantum Electrodynamics and Casimir Effect