Gauge unification in noncommutative geometry

Abstract

Gauge unification is widely considered to be a desirable feature for extensions of the standard model. Unfortunately the standard model itself does not exhibit a unification of its running gauge couplings but it is required by grand unified theories as well as the noncommutative version of the standard model [2]. We will consider here the extension of the noncommutative standard model by vector doublets as proposed in [6]. Two consequences of this modification are: 1. the relations of the coupling constants at unification energy are altered with respect to the well known relation from grand unified theories. 2. The extended model allows for unification of the gauge couplings at ~10^(13) GeV.

References in corpus (17)

• The Cosmological Parameters 2006
• Big-Bang nucleosynthesis (Particle Data Group mini-review)
• Gravity coupled with matter and foundation of non-commutative geometry
• The Spectral Action Principle
• Gravity and the standard model with neutrino mixing
• The effective potential and the renormalisation group
• Dark matter with invisible light from heavy double charged leptons of almost-commutative geometry?
• Classification of Finite Spectral Triples
• Almost-Commutative Geometries Beyond the Standard Model
• On a Classification of Irreducible Almost-Commutative Geometries IV
• On a Classification of Irreducible Almost Commutative Geometries
• A Farewell To Unimodularity
• On a Classification of Irreducible Almost Commutative Geometries, A Second Helping
• On a Classification of Irreducible Almost Commutative Geometries III
• Almost-Commutative Geometries Beyond the Standard Model II: New Colours
• Spectral action and big desert
• Almost-Commutative Geometries Beyond the Standard Model III: Vector Doublets