Noncommutative Geometric Gauge Theory from Superconnections

Details Noncommutative Geometric Gauge Theory from Superconnections Noncommutative Geometric Gauge Theory from Superconnections

1996-02-28

arxiv.org/abs/hep-th/9602159v3

J.KoreanPhys.Soc.29:415-419,1996

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, RevTex file, minor modifications, a few references added, the version appeared in J. Korean Phys. Soc

Scientific paper

Noncommutative geometric gauge theory is reconstructed based on the superconnection concept. The bosonic action of the Connes-Lott model including the symmetry breaking Higgs sector is obtained by using a new generalized derivative, which consists of the usual 1-form exterior derivative plus an extra element called the matrix derivative, for the curvatures. We first derive the matrix derivative based on superconnections and then show how the matrix derivative can give rise to spontaneous symmetry breaking. We comment on the correspondence between the generalized derivative and the generalized Dirac operator of the Connes-Lott model.

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