Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1999-07-14
Int.J.Mod.Phys.A15:4301-4324,2000
Physics
High Energy Physics
High Energy Physics - Theory
25 pages
Scientific paper
10.1142/S0217751X00002777
Quantum group Fourier transform methods are applied to the study of processes on noncommutative Minkowski spacetime $[x^i,t]=\imath\lambda x^i$. A natural wave equation is derived and the associated phenomena of {\it in vacuo} dispersion are discussed. Assuming the deformation scale $\lambda$ is of the order of the Planck length one finds that the dispersion effects are large enough to be tested in experimental investigations of astrophysical phenomena such as gamma-ray bursts. We also outline a new approach to the construction of field theories on the noncommutative spacetime, with the noncommutativity equivalent under Fourier transform to non-Abelianness of the `addition law' for momentum in Feynman diagrams. We argue that CPT violation effects of the type testable using the sensitive neutral-kaon system are to be expected in such a theory.
Amelino-Camelia Giovanni
Majid Shahn
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