The Noncommutative Constraints on the Standard Model à la Connes

Abstract

Noncommutative geometry applied to the standard model of electroweak and strong interactions was shown to produce fuzzy relations among masses and gauge couplings. We refine these relations and show then that they are exhaustive.

12 pages LaTeX, 4 figures

References in corpus (3)

• The quantum structure of spacetime at the Planck scale and quantum fields
• Fuzzy Mass Relations in the Standard Model
• Non-Commutative Geometry and the Strong Force

Cited by in corpus (7)

• The Standard Model as a noncommutative geometry: the low energy regime
• Classification of Finite Spectral Triples
• Asymptotic safety, hypergeometric functions, and the Higgs mass in spectral action models
• Dirac Type Gauge Theories and the Mass of the Higgs Boson
• Mass relations in noncommutative geometry revisited
• A Tour through Non-Associative Geometry
• Two Particle Physics Models With Spontaneous CP Violation From Gauge Theory On Discrete Group