Dependence of SU(N) coupling behavior on the size of extra dimensions

Details Dependence of SU(N) coupling behavior on the size of extra dimensions Dependence of SU(N) coupling behavior on the size of extra dimensions

2007-01-17

arxiv.org/abs/hep-th/0701159v2

Phys.Rev.D75:064014,2007

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, 4 figures; minor changes addressed and references added

Scientific paper

10.1103/PhysRevD.75.064014

Coupling constants at high energy scales are studied in SU(N) gauge theory with distinct sizes of extra dimensions. We present the solution of gauge couplings as functions of the energy in such a way as to track the number of Kaluza-Klein modes. In a flat extra dimension, it is shown that the gauge couplings have logarithmic dependence on the size of the extra dimension and linear dependence on the number of Kaluza-Klein modes. We find some patterns of the dependence on flavor of bulk and brane fermions. Dependence of gauge couplings on the size of an extra dimension is discussed also in a warped extra dimension.

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