Rigorous Definition of Quantum Field Operators in Noncommutative Quantum Field Theory

Details Rigorous Definition of Quantum Field Operators in Noncommutative Quantum Field Theory Rigorous Definition of Quantum Field Operators in Noncommutative Quantum Field Theory

2009-01-11

arxiv.org/abs/0901.1454v2

Physics

Mathematical Physics

7 pages, talk given at the 15th International Seminar on High Energy Physics QUARKS'2008, Sergiev Posad, Russia, May 23-29, 20

Scientific paper

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
$\star$-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.

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