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A nonperturbative form of the spectral action principle in noncommutative geometry

arXiv:hep-th/9701179 · doi:10.1016/S0393-0440(97)00062-4

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.

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A nonperturbative form of the spectral action principle in noncommutative geometry · wovepaper