Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2009-05-10
Theor.Math.Phys.166:337-355,2011
Physics
High Energy Physics
High Energy Physics - Theory
22 pages
Scientific paper
10.1007/s11232-011-0027-9
We calculate the scalar Casimir energy and Casimir force for a $R^3\times N$ Kaluza-Klein piston setup in which the extra dimensional space $N$ contains a non-commutative 2-sphere, $S_{FZ}$. The cases to be studied are $T^d\times S_{FZ}$ and $S_{FZ}$ respectively as extra dimensional spaces, with $T^d$ the $d$ dimensional commutative torus. The validity of the results and the regularization that the piston setup offers are examined in both cases. Finally we examine the 1-loop corrected Casimir energy for one piston chamber, due to the self interacting scalar field in the non-commutative geometry. The computation is done within some approximations. We compare this case for the same calculation done in Minkowski spacetime $M^D$. A discussion on the stabilization of the extra dimensional space within the piston setup follows at the end of the article.
No associations
LandOfFree
Kaluza-Klein Pistons with non-Commutative Extra Dimensions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Kaluza-Klein Pistons with non-Commutative Extra Dimensions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Kaluza-Klein Pistons with non-Commutative Extra Dimensions will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-570318