2002/09/16 by S. Vaidya, Vaidya, S., B. Ydri +1
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #hep-th
paper · pdf · doi:10.48550/arxiv.hep-th/0209131
13 pages, latex
arxiv created 2003/06/14 · arxiv updated 2009/11/30
Using a new scaling limit as well as a new cut-off procedure, we show that ϕ4 theory on noncommutative \bf R4 can be obtained from the corresponding theory on fuzzy \bf S2 × \bf S2. The star-product on this noncommutative \bf R4 is effectively local in the sense that the theory naturally has an ultra-violet cut-off Λ which is inversely proportional to the noncommutativity θ, i.e Λ= \frac2θ. We show that the UV-IR mixing in this case is absent to one loop in the 2-point function and also comment on the 4-point function.