Noncommutative Yang-Mills and Noncommutative Relativity: A Bridge Over Trouble Water

Abstract

Connes' view at Yang-Mills theories is reviewed with special emphasis on the gauge invariant scalar product. This landscape is shown to contain Chamseddine and Connes' noncommutative extension of general relativity restricted to flat space-time, if the top mass is between 172 and 204 GeV. Then the Higgs mass is between 188 and 201 GeV.

29 pages LaTeX, 6 figures EPS

References in corpus (3)

• On summability of distributions and spectral geometry
• The Einstein-Hilbert-Yang-Mills-Higgs Action and the Dirac-Yukawa Operator
• On Connes' new principle of general relativity. Can spinors hear the forces of spacetime?

Cited by in corpus (7)

• On a Classification of Irreducible Almost-Commutative Geometries IV
• On a Classification of Irreducible Almost Commutative Geometries
• The geometry of physical observables
• Quantum field theories on noncommutative R^4 versus theta-expanded quantum field theories
• Dirac Type Gauge Theories and the Mass of the Higgs Boson
• Pythagoras' Theorem on a 2D-Lattice from a "Natural" Dirac Operator and Connes' Distance Formula
• Spectral action in noncommutative geometry: An example