About gauge invariance in compactified extra dimensions

Abstract

Gauge theories formulated in a space-time manifold that includes compact extra dimensions can show a nontrivial gauge structure. Depending on whether the gauge parameters propagate or not in the extra dimensions, two different Kaluza--Klein theories can arise when the extra dimensions are compactified. A comparison between these two possibilities, in the context of a five dimensional theory, is presented from both the theoretical and phenomenological viewpoints. The phenomenological implications of these theories are contrasted by discussing the one--loop decay of the Higgs boson into two photons. It is shown that the amplitude for this decay differs substantially from one approach to the other and that such a difference is intimately related to gauge invariance.

5 pages, 1 figure

References in corpus (4)

• Gauge invariance and quantization of Yang-Mills theories in extra dimensions
• One-loop effects of extra dimensions on the WWγand WWZ vertices
• Quantization and High Energy Unitarity of 5D Orbifold Theories with Brane Kinetic Terms
• Dependence of SU(N) coupling behavior on the size of extra dimensions

Cited by in corpus (8)

• Trilinear gauge boson couplings in the standard model with one universal extra dimension
• Integration of Kaluza-Klein modes in Yang-Mills theories
• Hidden symmetries induced by a canonical transformation and gauge structure of compactified Yang-Mills theories
• Implications of extra dimensions on the effective charge and the beta function in quantum electrodynamics
• 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
• Effects of universal extra dimensions on top-quark electromagnetic interactions
• Gauge invariance, quantization and integration of heavy modes in a gauge Kaluza-Klein theory