Noncommutative waves have infinite propagation speed | Zendy

Bergfinnur Durhuus | Zendy; Thórdur Jónsson | Zendy

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Noncommutative waves have infinite propagation speed

Author(s) -

Bergfinnur Durhuus,

Thórdur Jónsson

Publication year - 2004

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2004/10/050

Subject(s) - noncommutative geometry , nonlinear system , mathematical analysis , mathematics , cauchy problem , initial value problem , degree (music) , noncommutative quantum field theory , physics , pure mathematics , quantum mechanics , acoustics

We prove the existence of global solutions to the Cauchy problem fornoncommutative nonlinear wave equations in arbitrary even spatial dimensionswhere the noncommutativity is only in the spatial directions. We find that forexistence there are no conditions on the degree of the nonlinearity providedthe potential is positive. We furthermore prove that nonlinear noncommutativewaves have infinite propagation speed, i.e., if the initial conditions at time0 have a compact support then for any positive time the support of the solutioncan be arbitrarily large.Comment: 15 pages, references adde

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