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.
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