Dependence of SU(N) coupling behavior on the size of extra dimensions
arXiv:hep-th/0701159 · doi:10.1103/PhysRevD.75.064014
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.
arXiv comment13 pages, 4 figures; minor changes addressed and references added
References in corpus (17)
- A Large Mass Hierarchy from a Small Extra Dimension
- The Hierarchy Problem and New Dimensions at a Millimeter
- New Dimensions at a Millimeter to a Fermi and Superstrings at a TeV
- Bounds on Universal Extra Dimensions
- Extra Spacetime Dimensions and Unification
- Grand Unification at Intermediate Mass Scales through Extra Dimensions
- Quantum Field Theory and Unification in AdS5
- Proton stability in TeV-scale GUTs
- Collider Implications of Universal Extra Dimensions
- Gauge Coupling Unification from Unified Theories in Higher Dimensions
- A Complete Theory of Grand Unification in Five Dimensions
- Power law scaling in Universal Extra Dimension scenarios
- Strongly Coupled Grand Unification in Higher Dimensions
- Power-Like Threshold Corrections to Gauge Unification in Extra Dimensions
- 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
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- Yang-Mills theories with an arbitrary number of compactified extra dimensions
- Distinctive ultraviolet structure of extra-dimensional Yang-Mills theories by integration of heavy Kaluza-Klein modes
- Two-loop corrections and predictability on orbifold
- The lightest Higgs boson mass in effective field theory with bulk and brane supersymmetry breaking
- Intermediate-scale vertex corrections for zero mode in warped space
- Simple mass relations for bulk fermions
- 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