2009/01/11 by M. N. Mnatsakanova, Mnatsakanova, M. N., Yu. S. Vernov +1
Mathematics · Physics and Astronomy · #81T05 #Advanced Operator Algebra Research #Algebraic structures and combinatorial models #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Noncommutative and Quantum Gravity Theories #hep-th #math-ph #math.MP #msc:81T05
paper · pdf · doi:10.48550/arxiv.0901.1454
7 pages, talk given at the 15th International Seminar on High Energy Physics QUARKS'2008, Sergiev Posad, Russia, May 23-29, 2008 (to appear in the Proceedings), Minor changes
openalex publication_date 2009/01/11 · arxiv created 2010/02/07 · arxiv updated 2012/09/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The space, on which quantum field operators are given, is constructed in any theory, in which the usual product between test functions is substituted by the ⋆-product (the Moyal-type product). The important example of such a theory is noncommutative quantum field theory (NC QFT). This construction is the key point in the derivation of the Wightman reconstruction theorem.