2010/08/31 by Jochen Zahn · 5 citations
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Black Holes and Theoretical Physics #Covariant transformation #Feynman diagram #Formalism (music) #Mathematical physics #Minkowski space #Noncommutative and Quantum Gravity Theories #Noncommutative geometry #Noncommutative quantum field theory #Observable #Physics #Quantum electrodynamics #Quantum field theory #Quantum mechanics #Renormalization #Theoretical physics #hep-th
paper · pdf · doi:10.1103/physrevd.82.105033
published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 82(10) (American Physical Society) · 49 pages, published version
openalex publication_date 2010/11/30 · arxiv created 2010/12/21 · arxiv updated 2010/12/23 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We study quantum electrodynamics on the noncommutative Minkowski space (NCQED) in the Yang-Feldman formalism. Local observables are defined by using covariant coordinates. We compute the two-point function of the interacting field strength to second order and find the infrared divergent terms already known from computations using the so-called modified Feynman rules. It is shown that these lead to nonlocal renormalization ambiguities. Also new nonlocal divergences stemming from the covariant coordinates are found. Furthermore, we study the supersymmetric extension of the model. For this, the supersymmetric generalization of the covariant coordinates is introduced. We find that the nonlocal divergences cancel. At the one-loop level, the only effect of noncommutativity is then a momentum-dependent field strength normalization. We interpret it as an acausal effect and show that its range is independent of the noncommutativity scale.