139 citations · 367 across the 13 of their papers we have counts for
5 papers · 1 filter
Moyal Planes are Spectral Triples
V. Gayral, J. M. Gracia-Bondía, B. Iochum +2
Axioms for nonunital spectral triples, extending those introduced in the unital case by Connes, are proposed. As a guide, and for the sake of their importance in noncommutative qua…
Remarks on Alain Connes' approach to the standard model
Daniel Kastler, Thomas Schucker
Our 1992 remarks about Alain Connes' interpretation of the standard model within his theory of non-commutative riemannian spin manifolds.
The standard model in noncommutative geometry and fermion doubling
J. M. Gracia-Bondia, B. Iochum, T. Schucker
The link between chirality in the fermion sector and (anti-)self-duality in the boson sector is reexamined in the light of Connes' noncommutative geometry approach to the Standard…
YANG-MILLS-HIGGS versus CONNES-LOTT
Bruno IOCHUM, Thomas SCHÜCKER
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 analysi…
A Left-Right Symmetric Model a la Connes-Lott
Bruno Iochum, Thomas Schucker
We present a left-right symmetric model with gauge group in the Connes-Lott non-commutative frame work. Its gauge symmetry is broken spontaneously, parity rem…