Noncommutative waves have infinite propagation speed

Details Noncommutative waves have infinite propagation speed Noncommutative waves have infinite propagation speed

2004-08-25

arxiv.org/abs/hep-th/0408190v3

JHEP0410:050,2004

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, references added

Scientific paper

10.1088/1126-6708/2004/10/050

We prove the existence of global solutions to the Cauchy problem for noncommutative nonlinear wave equations in arbitrary even spatial dimensions where the noncommutativity is only in the spatial directions. We find that for existence there are no conditions on the degree of the nonlinearity provided the potential is positive. We furthermore prove that nonlinear noncommutative waves have infinite propagation speed, i.e., if the initial conditions at time 0 have a compact support then for any positive time the support of the solution can be arbitrarily large.

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