Electronic Journal of Differential Equations,
Conference 04 (2000), pp. 165-174.

Title: Superconnections: An interpretation of the standard model

Author: Gert Roepstorff (nstitute for Theoretical Physics RWTH Aachen, Germany)
 
Abstract: 
The mathematical framework of superbundles as pioneered by
D. Quillen suggests that one consider the Higgs field as a natural 
constituent of a superconnection. I propose to take as superbundle 
the exterior algebra obtained from a Hermitian vector bundle of rank  
n where  n=2 for the electroweak theory and   n=5 for the full Standard 
Model. The present setup is similar to but avoids the use of 
non-commutative geometry.

Published July 12, 2000.
Math Subject Classifications: 81V22. 
Key Words: Superconnection; Euclidean quantum field theory; elementary particle.