Failure of microcausality in quantum field theory on noncommutative spacetime

Details Failure of microcausality in quantum field theory on noncommutative spacetime Failure of microcausality in quantum field theory on noncommutative spacetime

2005-08-08

arxiv.org/abs/hep-th/0508057v2

Phys.Rev. D73 (2006) 045014

Physics

High Energy Physics

High Energy Physics - Theory

10 pages

Scientific paper

10.1103/PhysRevD.73.045014

The star commutator of $:\phi(x) \star \phi(x):$ with $:\phi(y) \star \phi(y):$ fails to vanish at equal times and thus also fails to obey microcausality at spacelike separation even for the case in which $\theta^{0i}=0$. The failure to obey microcausality for this sample observable implies that this form of noncommutative field theory fails to obey microcausality in general. This result also holds for general fields and observables. We discuss possible responses to this problem.

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