Mathematical Physics and Quantum Field Theory
Electron. J. Diff. Eqns., Conf. 04, 2000, pp. 165174.
Superconnections: An interpretation of the standard model
Gert Roepstorff
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 noncommutative 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
D52062 Aachen, Germany
email: roep@physik.rwthaachen.de 
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