| Issue |
EPL
Volume 80, Number 2, October 2007
|
|
|---|---|---|
| Article Number | 20003 | |
| Number of page(s) | 6 | |
| Section | General | |
| DOI | https://doi.org/10.1209/0295-5075/80/20003 | |
| Published online | 21 September 2007 | |
Field theories on spaces with linear fuzziness
Department of Physics, Alzahra University - Tehran 1993891167, Iran
Corresponding authors: ahfatol@gmail.com mamwad@mailaps.org
Received:
8
May
2007
Accepted:
31
August
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 
or 
is investigated in more detail.
PACS: 02.40.Gh – Noncommutative geometry
© Europhysics Letters Association, 2007
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