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

Abstract

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.

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

References in corpus (3)

• Supersymmetry Breaking by Constant Boundary Superpotentials in Warped Space
• Radius stabilization by constant boundary superpotentials in warped space
• Kaluza-Klein decomposition and gauge coupling unification in orbifold GUTs

Cited by in corpus (5)

• Gauge invariance and quantization of Yang-Mills theories in extra dimensions
• Gauge and Yukawa couplings in 6D supersymmetric SU(6) models
• The lightest Higgs boson mass in effective field theory with bulk and brane supersymmetry breaking
• Most attractive channel for self-breaking of grand unification group symmetry
• Gauge invariance, quantization and integration of heavy modes in a gauge Kaluza-Klein theory