YANG-MILLS-HIGGS versus CONNES-LOTT

Abstract

By a suitable choice of variables we show that every Connes-Lott model is a Yang-Mills-Higgs model. The contrary is far from being true. Necessary conditions are given. Our analysis is pedestrian and illustrated by examples.

30 pages, LaTeX

References in corpus (6)

• Gravity, Non-Commutative Geometry and the Wodzicki Residue
• Connes' Model Building Kit
• Differential Algebras in Non-Commutative Geometry
• Remarks on Alain Connes' approach to the standard model
• A Left-Right Symmetric Model a la Connes-Lott
• Structures Symplectiques sur les Espaces de Courbes Projectives et Affines

Cited by in corpus (18)

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• New Scalar Fields in Noncommutative Geometry
• Almost-Commutative Geometries Beyond the Standard Model II: New Colours
• The Standard Model a la Connes-Lott
• Non-commutative Geometry Beyond the Standard Model
• The Einstein-Hilbert-Yang-Mills-Higgs Action and the Dirac-Yukawa Operator
• Fermion masses in noncommutative geometry
• Seesaw and noncommutative geometry
• $Z_2\times Z_2$ Lattice as a Connes-Lott-Quantum Group Model
• Towards a $Z^{\prime }$ Gauge Boson in Noncommutative Geometry
• Gauge Theories of Dirac Type
• Dirac Type Gauge Theories and the Mass of the Higgs Boson
• Differential Antisymmetric Infinitesimal Bialgebras, Coherent Derivations and Poisson Bialgebras
• The Inverse Seesaw Mechanism in Noncommutative Geometry
• Noncommutative Geometry: Calculation of the Standard Model Lagrangian