Interaction between two Fuzzy Spheres

Abstract:

We have calculated interactions between two fuzzy (non-commutative) spheres in 3 dimension. It depends on the distance r between the spheres and the radii rho_1, rho_2. There is no force between the spheres when they are far from each other (long distance case). We have also studied the interaction for r=0 case. We find that an attractive force exists between two fuzzy sphere surfaces. We have also studied a more physical 10 dimensional extension of such system.