2003/12/02 by Holger Gies, Joerg Jaeckel, C. Wetterich +1 · 3 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph #hep-th
paper · pdf · doi:10.1103/physrevd.69.105008
published as Phys.Rev. D69 (2004) 105008 · 18 pages, 4 figures
arxiv created 2003/12/02 · openalex publication_date 2004/05/17 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We investigate the possibility of constructing a renormalizable standard model with purely fermionic matter content. The Higgs scalar is replaced by pointlike fermionic self-interactions with couplings growing large at the Fermi scale. An analysis of the UV behavior in the pointlike approximation reveals a variety of non-Gaussian fixed points for the fermion couplings. If real, such fixed points would imply nonperturbative renormalizability and avoid the triviality of the Higgs sector. For pointlike fermionic self-interactions and weak gauge couplings, one encounters a hierarchy problem similar to that for a fundamental Higgs scalar.