Abstract :
We evaluate the one-loop correction to the spectrum of Kaluza–Klein system for the φ3 model on R1,d×(Tθ2)L, where 1+d dimensions are the ordinary flat Minkowski spacetimes and the extra dimensions are the L two-dimensional noncommutative tori with noncommutativity θ. The correction to the Kaluza–Klein mass spectrum is then used to compute the Casimir energy. The results show that when L>2 the Casimir energy due to the noncommutativity could give repulsive force to stabilize the extra noncommutative tori in the cases of d=4n−2, with n a positive integral.
