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Spin-statistics and CPT theorems in noncommutative field theory

2003; Elsevier BV; Volume: 568; Issue: 1-2 Linguagem: Inglês

10.1016/j.physletb.2003.06.009

1873-2445

Масуд Чайчиан, K. Nishijima, Anca Tureanu,

Advanced Operator Algebra Research

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.