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- W2070649851 abstract "We propose an alternative axiomatic description for noncommutative field theories (NCFT) based on some ideas by Soloviev to nonlocal quantum fields. The local commutativity axiom is replaced by the weaker condition that the fields commute at sufficiently large spatial separations, called asymptotic commutativity, formulated in terms of the theory of analytic functionals. The question of a possible violation of the CPT and spin-statistics theorems caused by nonlocality of the commutation relations [x̂μ,x̂ν]=iθμν is investigated. In spite of this inherent nonlocality, we show that the modification aforementioned is sufficient to ensure the validity of these theorems for NCFT. We restrict ourselves to the simplest model of a scalar field in the case of only space–space noncommutativity." @default.
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- W2070649851 date "2005-07-26" @default.
- W2070649851 modified "2023-10-16" @default.
- W2070649851 title "A new derivation of the CPT and spin-statistics theorems in noncommutative field theories" @default.
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- W2070649851 doi "https://doi.org/10.1063/1.1982769" @default.
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