2007/08/16 by A. P. Balachandran, A. Pinzul, B. A. Qureshi +2 · 19 citations
Mathematics · Physics and Astronomy · #Abelian group #Black Holes and Theoretical Physics #Causality (physics) #Feynman diagram #Field (mathematics) #Gauge theory #Invariant (physics) #Lorentz covariance #Lorentz transformation #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Pure mathematics #Quantum #Quantum Electrodynamics and Casimir Effect #Quantum entanglement #Quantum field theory #Quantum mechanics #Quantum nonlocality #Theoretical physics #gr-qc #hep-ph #hep-th #math-ph #math.MP #math.QA
paper · pdf · doi:10.1103/physrevd.77.025020
published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 77(2) (American Physical Society) · 15 pages, LaTeX, 1 figure
arxiv created 2007/08/16 · openalex publication_date 2008/01/22 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Twisted quantum field theories on the Groenewold-Moyal plane are known to be nonlocal. Despite this nonlocality, it is possible to define a generalized notion of causality. We show that interacting quantum field theories that involve only couplings between matter fields, or between matter fields and minimally coupled U(1) gauge fields are causal in this sense. On the other hand, interactions between matter fields and non-Abelian gauge fields violate this generalized causality. We derive the modified Feynman rules emergent from these features. They imply that interactions of matter with non-Abelian gauge fields are not Lorentz- and CPT-invariant.