Revisiting NCQED and scattering amplitudes

Abstract

Research progresses on the noncommutative gauge theories on the Moyal space are discussed in this minireview. We first present a brief overview on the development of gauge theories on Moyal space, with an emphasis on the role of Seiberg-Witten maps. Two important relations induced by reversible Seiberg-Witten maps, namely the formal equivalence of on-shell DeWitt background field effective action in general and explicit identical relation between tree level scattering amplituded in noncommutative quantum electrodynamics (NCQED), are described in some details. We then proceed to the properties of the tree level two-by-two scattering amplitudes in NCQED, including a forward scattering singularity in NCQED Compton scattering. After covering some phenomenological perspectives of NCYM based models, outlooks into the future are given at the end.

10 pages, minireview; v2 to be published in EPJ special Topics

References in corpus (11)

• Very Special Relativity
• Improved Z -> gamma gamma decay in the renormalizable gauge sector of the noncommutative standard model
• Probing the Noncommutative Standard Model at Hadron Colliders
• Spacetime noncommutativity and ultra-high energy cosmic ray experiments
• Non-commutative SU(N) gauge theories and asymptotic freedom
• The absence of the 4$\psi$ divergence in noncommutative chiral models
• Constraining noncommutative field theories with holography
• Chiral fermions in noncommutative electrodynamics: renormalizability and dispersion
• Quantum duality under the theta-exact Seiberg-Witten map
• Seiberg-Witten maps and scattering amplitudes of NCQED
• Inferring the covariant $\Theta$-exact noncommutative coupling in the top quark pair production at linear colliders

Cited by in corpus (1)

• Nonlocal Lagrangian fields and the second Noether theorem. Non-commutative $U(1)$ gauge theory