Rigorous Definition of Quantum Field Operators in Noncommutative Quantum Field Theory
arXiv:0901.1454
Abstract
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.
arXiv comment7 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