Phys. Rev. D 73, 045014 (2006) [5 pages]Failure of microcausality in quantum field theory on noncommutative spacetimeReceived 9 August 2005; revised 8 December 2005; published 13 February 2006 The commutator of ∶ ϕ(x)⋆ϕ(x) ∶ with ∂μy ∶ ϕ(y)⋆ϕ(y) ∶ fails to vanish at equal times and thus also fails to obey microcausality at spacelike separation even for the case in which θ0i=0. The failure to obey microcausality for these sample observables implies that this form of noncommutative field theory fails to obey microcausality in general. This result holds generally when there are time derivatives in the observables. We discuss possible responses to this problem. © 2006 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.73.045014
DOI:
10.1103/PhysRevD.73.045014
PACS:
11.10.Nx, 02.40.Gh, 04.20.Cv
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