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.