On the failure of microcausality in noncommutative field theories

@inproceedings{Lebedev2009OnTF,
  title={On the failure of microcausality in noncommutative field theories},
  author={P. V. Lebedev},
  year={2009}
}
We revisit the question of microcausality violations in quantum field theory on noncommutative spacetime, taking O(x) =: φ⋆φ : (x) as a sample observable. Using methods of the theory of distributions, we precisely describe the support properties of the commutator [O(x),O(y)] and prove that, in the case of spacespace noncommutativity, it does not vanish at spacelike separation in the noncommuting directions. However, the matrix elements of this commutator exhibit a rapid falloff along an… CONTINUE READING

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