2011/08/31 by Kazuyuki Furuuchi, Takeo Inami, Kazumi Okuyama · 3 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Computer science #Cosmology and Gravitation Theories #Fuzzy logic #Gauge theory #Geometry #Higgs boson #Higgs field #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Orbifold #Particle physics #Physics #Quantum mechanics #Theoretical physics #Torus #Vacuum state #hep-ph #hep-th
paper · pdf · open access · doi:10.1007/jhep11(2011)006
published in Journal of High Energy Physics 2011(11), 6 (Springer Nature) · 1+38 pages, 4 figures v2: refs added
arxiv created 2011/09/05 · openalex publication_date 2011/11/01 · arxiv updated 2011/11/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We propose gauge-Higgs unification in fuzzy extra dimensions as a possible solution to the Higgs naturalness problem. In our approach, the fuzzy extra dimensions are created spontaneously as a vacuum solution of certain four-dimensional gauge theory. As an example, we construct a model which has a fuzzy torus as its vacuum. The Higgs field in our model is associated with the Wilson loop wrapped on the fuzzy torus. We show that the quadratic divergence in the mass of the Higgs field in the one-loop effective potential is absent. We then argue based on symmetries that the quantum corrections to the Higgs mass is suppressed including all loop contributions. We also consider a realization on the worldvolume theory of D3-branes probing C3/(ZN × ZN) orbifold with discrete torsion.