# Hyperbolic deformation of a gauge field theory and the hierarchy problem

@article{CartasFuentevilla2016HyperbolicDO, title={Hyperbolic deformation of a gauge field theory and the hierarchy problem}, author={R. Cartas-Fuentevilla and A. Escalante-Hernandez and Alfredo Herrera-Aguilar}, journal={International Journal of Modern Physics A}, year={2016}, volume={31}, pages={1650177} }

The problem of the gauge hierarchy is brought up in a hypercomplex scheme for a U(1) field theory; in such a scheme, a compact gauge group is deformed through a γ-parameter that varies along a noncompact internal direction, transverse to the U(1) compact one, and thus an additional SO(1, 1) gauge symmetry is incorporated. This transverse direction can be understood as an extra internal dimension, which will control the spontaneous symmetry breakdown, and will allow us to establish a mass…

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