Remarks on Alain Connes' approach to the standard model in non-commutative geometry

@article{Kastler1992RemarksOA,
  title={Remarks on Alain Connes' approach to the standard model in non-commutative geometry},
  author={Daniel Kastler and Thomas Sch{\"u}cker},
  journal={Theoretical and Mathematical Physics},
  year={1992},
  volume={92},
  pages={1075-1080}
}
Our 1992 remarks about Alain Connes' interpretation of the standard model within his theory of non-commutative riemannian spin manifolds. 
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23 Citations
Background Citations
2
Methods Citations
1

23 Citations

Lectures 1 on Alain Connes' Non Commutative Geometry and Applications to Fundamental Interactions

We introduce the reader to Alain Connes non commutative diierential geometry, and sketch the applications made to date to (the lagrangian level of) fundamental physical interactions.

Forces from Connes' geometry

We try to give a pedagogical introduction to Connes' derivation of the standard model of electro-magnetic, weak and strong forces from gravity.

State of the art of Alain Connes’ version of the standard model

Survey of the improved technique for deriving the standard model lagrangian in the non-commutative Yang-Mills scheme, under stressing of tensorial aspects.

Connes' model building kit

Forces from Connes' Geometry Lectures given at the Autumn School " Topology and Geometry in Physics " of the Graduiertenkolleg 'physical Systems with Many Degrees of Freedom'

We try to give a pedagogical introduction to Connes' derivation of the standard model of electromagnetic , weak and strong forces from gravity.

Noncommutative geometry and fundamental physical interactions: The Lagrangian level—Historical sketch and description of the present situation

These notes comprise (i) a descriptive account of the history of the subject showing how physics and mathematics interwove to develop a mathematical concept of quantum manifold relevant to elementary…

Connes' interpretation of the Standard Model and massive neutrinos

Deriving the standard model from the simplest two‐point K cycle

Basing on a differential algebra over the simplest two‐point K cycle and graded Lie algebras of homomorphisms of finite projective modules, we derive the classical action of the standard model. This…

Quantizing field theories in noncommutative geometry and the correspondence between anti de Sitter space and conformal field theory

Fuzzy mass relations for the Higgs

The noncommutative approach of the standard model produces a relation between the top and the Higgs masses. We show that, for a given top mass, the Higgs mass is constrained to lie in an interval.…

References

SHOWING 1-7 OF 7 REFERENCES

State of the art of Alain Connes’ version of the standard model

Survey of the improved technique for deriving the standard model lagrangian in the non-commutative Yang-Mills scheme, under stressing of tensorial aspects.

The action functional in non-commutative geometry

We establish the equality between the restriction of the Adler-Manin-Wodzicki residue or non-commutative residue to pseudodifferential operators of order −n on ann-dimensional compact manifoldM, with…

Particle models and noncommutative geometry

A DETAILED ACCOUNT OF ALAIN CONNES' VERSION OF THE STANDARD MODEL IN NON-COMMUTATIVE GEOMETRY: I AND II.

We present a detailed calculation of the Lagrangian of the standard model prescribed in the paper [4] of Connes and Lott, first for the electroweak interactions alone, and then (as is necessary to…

Essay on Physics and Non-commutative Geometry, The Interface of Mathematics and Particle Physics

  • 1990

Q = I 3 + 1 2 Y , why? Proc. XI Intern. Coll. on Group-Theoret

  • Methods in Physics Serdaroglu, E. Inonu
  • 1982

Q = I 3 + 1 2 Y , why?

  • Proc. XI Intern. Coll. on Group-Theoret. Methods in Physics
  • 1982