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arxiv hep-th/0508057 v2 pith:2XP6DIW6 submitted 2005-08-08 hep-th math-phmath.MP

Failure of microcausality in quantum field theory on noncommutative spacetime

classification hep-th math-phmath.MP
keywords microcausalityfailsobeystarfailurefieldgeneralnoncommutative
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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