2013/12/31 by M. A. Soloviev, Michael A. Soloviev · 7 citations
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Axiom #Black Holes and Theoretical Physics #Commutative property #Geometry #Locality #Mathematical analysis #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Pure mathematics #Quantum #Quantum field theory #Quantum mechanics #Sign (mathematics) #Spacetime #Theoretical physics #Twist #Vacuum state #Wedge (geometry) #hep-th #math-ph #math.MP
paper · pdf · doi:10.1103/physrevd.89.105020
published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 89(10) (American Physical Society) · LaTeX, 23 pages; typos corrected, an explanatory example added, matches the published version
openalex publication_date 2014/05/21 · arxiv created 2015/01/21 · arxiv updated 2015/01/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
In this paper, we study twist deformed quantum field theories obtained by combining the Wightman axiomatic approach with the idea of spacetime noncommutativity. We prove that the deformed fields with deformation parameters of opposite sign satisfy the condition of mutual asymptotic commutativity, which was used earlier in nonlocal quantum field theory as a substitute for relative locality. We also present an improved proof of the wedge localization property discovered for the deformed fields by Grosse and Lechner, and we show that the deformation leaves the asymptotic behavior of the vacuum expectation values in spacelike directions substantially unchanged.