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

Abstract

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 $\delta$ 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

References in corpus (1)

• Field theories on spaces with linear fuzziness

Cited by in corpus (7)

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• Dirac theory on a space with linear Lie type fuzziness
• UV dimensional reduction to two from group valued momenta
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