Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2004-03-08
Phys.Lett.B593:242-252,2004
Physics
High Energy Physics
High Energy Physics - Theory
15 pages, 2 figures
Scientific paper
10.1016/j.physletb.2004.05.002
Supersymmetric effective potential of a 5D super-Yang-Mills model compactified on $S^1/Z_2$, i.e., on an interval $l$ of extra dimension, is estimated at the 1-loop level by the auxiliary field tadpole method. For the sake of infinite towers of Kaluza-Klein excitation modes of bulk fields involved in the tadpoles, there arises a definite bulk effect of linear growth of the effective potential along with the cutoff ${\mit\Lambda}$ which is greatly suppressed by $l$ to produce finite contributions. The minimization of the effective potential incorporating the tree potential and a Fayet-Iliopoulos $D$-term reveals an interesting case that the size of $l$ is stabilized at a length corresponding to an intermediate mass scale $10^{12-14}$ GeV.
Ichinose Shoichi
Murayama Akihiro
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