Mathematical Physics and Quantum Field Theory
Electron. J. Diff. Eqns., Conf. 04, 2000, pp. 165-174.

Superconnections: An interpretation of the standard model

Gert Roepstorff

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.
Mathematics Subject Classifications: 81V22.
Key words: Superconnection, Euclidean quantum field theory, elementary particle.

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Gert Roepstorff
Institute for Theoretical Physics
RWTH Aachen
D-52062 Aachen, Germany

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