Chamseddine, Fröhlich, Grandjean Metric and Localized Higgs Coupling on Noncommutative Geometry

R. Kuriki; A. Sugamoto

doi:10.1143/PTP.105.161

paper

Chamseddine, Fröhlich, Grandjean Metric and Localized Higgs Coupling on Noncommutative Geometry

arXiv:hep-th/0004127 · doi:10.1143/PTP.105.161

Abstract

We propose a geometrized Higgs mechanism based on the gravitational sector in the Connes-Lott formulation of the standard model, which has been constructed by Chamseddine, Fr $o ¨$ hlic and Grandjean. The point of our idea is that Higgs-like couplings depend on the local coordinates of the four-dimensional continuum, $M_{4}$ . The localized couplings can be calculated by the Wilson loops of the $U (1)_{E M}$ gauge field and the connection, which is defined on $Z_{2} \times M_{4}$ .

22 pages, LaTeX, corrected typos, minor changes