2005/08/31 by A. P. Balachandran, A. Pinzul, B. A. Qureshi +1 · 2 citations
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Black Holes and Theoretical Physics #Commutation #Commutative property #Invariant (physics) #Mathematics #Mixing (physics) #Noncommutative and Quantum Gravity Theories #Pauli exclusion principle #Pauli matrices #Physics #Pure mathematics #Quantum mechanics #Theoretical physics #gr-qc #hep-ph #hep-th #math-ph #math.MP #math.QA
paper · pdf · doi:10.1016/j.physletb.2006.02.006
published as Phys.Lett.B634:434-436,2006 · Minor Changes in text and abstract, important references added
arxiv created 2005/10/28 · openalex publication_date 2006/02/11 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Poincaré-invariant quantum field theories can be formulated on non-commutative planes if the coproduct on the Poincaré group is suitably deformed. As shown in our previous work, this important result implies modification of free field commutation and anti-commutation relations and striking phenomenological consequences such as violations of Pauli principle. In this Letter we prove that with these modifications, UV–IR mixing disappears to all orders in perturbation theory from the S-matrix. This result is in agreement with the previous results of Oeckl.