# 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.

## 23 Citations

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

- Mathematics
- 1994

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

- Physics
- 2001

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

- Computer Science
- 1993

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

### 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'

- Physics
- 2007

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

- Physics
- 2000

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…

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

- Mathematics
- 1996

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…

### Fuzzy mass relations for the Higgs

- Physics
- 1995

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

- Computer Science
- 1993

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

- Mathematics
- 1988

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…

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

- Physics
- 1993

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