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arXiv · 0901.1454

Rigorous Definition of Quantum Field Operators in Noncommutative Quantum Field Theory

M. N. Mnatsakanova·Yu. S. Vernov
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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 $\star$-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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M. N. Mnatsakanova, Yu. S. Vernov. 2010-02-07. Rigorous Definition of Quantum Field Operators in Noncommutative Quantum Field Theory. https://arxiv.org/abs/0901.1454

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