H. Figueroa, J. M. Gracia-Bondia, F. Lizzi, J. C. Varilly
A nonperturbative form of the spectral action
principle in noncommutative geometry
(42K, LaTeX)
ABSTRACT. Using the formalism of superconnections, we show the existence of a
bosonic action functional for the standard $K$-cycle in noncommutative
geometry, giving rise, through the spectral action principle, only to
the Einstein gravity and Standard Model Yang--Mills--Higgs terms. It
provides an effective nonminimal coupling in the bosonic sector of the
Lagrangian.