Field theory amplitudes in a space with SU(2) fuzziness

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The structure of transition amplitudes in field theory in a three-dimensional space whose spatial coordinates are noncommutative and satisfy the SU(2) Lie algebra commutation relations is examined. In particular, the basic notions for constructing the observables of the theory as well as subtleties related to the proper treatment of $δ$ distributions (corresponding to conservation laws) are introduced. Explicit examples are given for scalar field theory amplitudes in the lowest order of perturbation.
20 pages, no figs, LaTeX, to appear in EPJ-C

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High Energy Physics - Theory

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http://salesiana.dossiersoluciones.com/handle/123456789/191806

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0712.1670
 http://arxiv.org/abs/0712.1670
 Eur.Phys.J.C53:679-688,2008
 doi:10.1140/epjc/s10052-007-0484-3

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arXiv