https://doi.org/10.1140/epjc/s10052-007-0484-3
Regular Article - Theoretical Physics
Field theory amplitudes in a space with SU(2) fuzziness
Department of Physics, Alzahra University, Tehran, 1993891167, Iran
* e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.
Received:
7
September
2007
Published online:
15
December
2007
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 δ distributions (corresponding to conservation laws) are introduced. Explicit examples are given for scalar field theory amplitudes in the lowest order of perturbation.
© Springer-Verlag , 2008
