On general properties of Lorentz invariant formulation of noncommutative quantum field theory

Details On general properties of Lorentz invariant formulation of noncommutative quantum field theory On general properties of Lorentz invariant formulation of noncommutative quantum field theory

2008-04-21

arxiv.org/abs/0804.3341v2

Phys.Lett.B666:486-490,2008

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, references added

Scientific paper

10.1016/j.physletb.2008.07.096

We study general properties of certain Lorentz invariant noncommutative quantum field theories proposed in the literature. We show that causality in those theories does not hold, in contrast to the canonical noncommutative field theory with the light-wedge causality condition. This is the consequence of the infinite nonlocality of the theory getting spread in all spacetime directions. We also show that the time-ordered perturbation theory arising from the Hamiltonian formulation of noncommutative quantum field theories remains inequivalent to the covariant perturbation theory with usual Feynman rules even after restoration of Lorentz symmetry.

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