科研之友
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摘要
We calculate the scalar Casimir energy for a Minkowski spacetime with T(d) x S(FZ) as extra dimensional space, with T(d) the d-dimensional commutative torus and S(FZ) the noncommutative two-sphere. We compute the Casimir energy up to one-loop level in order to address the stabilization of the internal space issue. We found that, contrary to the noncommutative two-torus case, the one-loop Casimir energy is singular, when D = even, therefore cannot give reliable results, when D = 4. However, when D = odd and d = even, the Casimir energy is always regular and a stabilization radius for the internal commutative space exists.
- 出版日期2010-3-28
