t(7;14)(q34;q11) TRA/TRB

New Scaling Limit for Fuzzy Spheres

Using a new scaling and a cut-off procedure, we show that φ theory on a deformed noncommutative R can be obtained from the corresponding theory on the fuzzy S × S. The star-product on this deformed R 4 is non-associative, and the theory naturally has an ultra-violet cut-off, Λ = 2/θ. We show that UV-IR mixing is absent to one loop, and that the β-function is the same as that of an ordinary φ th...