Field theories on spaces with linear fuzzinessA. H. Fatollahi and M. Khorrami
Department of Physics, Alzahra University - Tehran 1993891167, Iran
received 8 May 2007; accepted in final form 31 August 2007; published October 2007
published online 21 September 2007
A noncommutative space is considered, the position operators of which satisfy the commutativity relations of a Lie algebra. The basic tools for calculation on this space, including the product of the fields, inner product and the proper measure for integration are derived. Some general aspects of perturbative field theory calculations on this space are also discussed. One of the features of such models is that they are free from ultraviolet divergences (and hence free from UV/IR mixing as well), if the group is compact. The example of the group SO(3) or SU(2) is investigated in more detail.
02.40.Gh - Noncommutative geometry.
© Europhysics Letters Association 2007