English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

We compute the one loop Casimir energy of an interacting scalar field in acompact noncommutative space of $R^{1,d}\times T^2_\theta$, where we haveordinary flat $1+d$ dimensional Minkowski space and two dimensionalnoncommuative torus. We find that next order correction due to thenoncommutativity still contributes an attractive force and thus will have aquantum instability. However, the case of vector field in a periodic boundarycondition gives repulsive force for $d>5$ and we expect a stabilized radius.This suggests a stabilization mechanism for a senario in Kaluza-Klein theory,where some of the extra dimensions are noncommutative.Comment: 10 pages, TeX, harvma

Casimir force in compact noncommutative extra dimensions and radius stabilization