Open AccessCasimir force in compact noncommutative extra dimensions and radius stabilization
Author(s) -
Soonkeon Nam
Publication year - 2000
Publication title -
journal of high energy physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.998
H-Index - 261
eISSN - 1126-6708
pISSN - 1029-8479
DOI - 10.1088/1126-6708/2000/10/044
Subject(s) - casimir effect , noncommutative geometry , minkowski space , physics , scalar field , mathematical physics , radius , torus , scalar (mathematics) , instability , classical mechanics , noncommutative quantum field theory , space (punctuation) , quantum mechanics , mathematics , geometry , computer security , computer science , linguistics , philosophy
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
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom