1996/05/31 by Carmelo P. Martín, C. P. Martin, Jose M. Gracia-Bondia +3 · 4 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Euclidean geometry #Geometry #Higgs boson #Mathematical physics #Minkowski space #Noncommutative and Quantum Gravity Theories #Noncommutative geometry #Noncommutative quantum field theory #Particle physics #Particle physics theoretical and experimental studies #Physics #Physics beyond the Standard Model #Quantum mechanics #Renormalization #Spacetime #Standard Model (mathematical formulation) #Theoretical physics #hep-th
paper · pdf · doi:10.1016/s0370-1573(97)00053-7
published as Phys.Rept.294:363-406,1998 · 44 pages, Plain TeX with AMS fonts, mass formulae readjusted, some references added, to appear in Physics Reports
arxiv created 1997/03/06 · openalex publication_date 1998/02/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We render a thorough, physicist's account of the formulation of the Standard Model (SM) of particle physics within the framework of noncommutative differential geometry (NCG). We work in Minkowski spacetime rather than in Euclidean space. We lay the stress on the physical ideas both underlying and coming out of the noncommutative derivation of the SM, while we provide the necessary mathematical tools. Postdiction of most of the main characteristics of the SM is shown within the NCG framework. This framework, plus standard renormalization technique at the one-loop level, suggest that the Higgs and top masses should verify 1.3 mtop \lesssim mH \lesssim 1.73 mtop.