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Spin-statistics and CPT theorems in noncommutative field theory

2002/09/01 by Масуд Чайчиан, M. Chaichian, K. Nishijima +2 · 7 citations
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Black Holes and Theoretical Physics #Noncommutative and Quantum Gravity Theories #hep-th

paper · pdf · doi:10.1016/j.physletb.2003.06.009

published as Phys.Lett.B568:146-152,2003 · 5 pages, latex, no figures

arxiv created 2002/09/01 · openalex publication_date 2003/07/16 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that Pauli's spin-statistics relation remains valid in noncommutative quantum field theories (NC QFT), with the exception of some peculiar cases of noncommutativity between space and time. We also prove that, while the individual symmetries C and T, and in some cases also P, are broken, the CPT theorem still holds in general for noncommutative field theories, in spite of the inherent nonlocality and violation of Lorentz invariance.

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