An essay on the spectral action and its relation to quantum gravity
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Submission date: 17. May. 2006
published in: Quantum gravity : mathematical models and experimental bounds / B. Fauser ... (eds.)
Basel [u.a.] : Birkhäuser, 2007. - P. 127 - 149
DOI number (of the published article): 10.1007/978-3-7643-7978-0_7
MSC-Numbers: 58B34, 81R60
Keywords and phrases: Noncommutative Geometry, standard model of particle physics, generally covariant quantum theory
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We give a brief, critical account of Connes' spectral action principle, its physical motivation, interpretation and its possible relation to a quantum theory of the gravitational field coupled to matter. We then present some speculations concerning the quantization of the spectral action and the perspectives it might offer, most notably the speculation that the standard model, including the gauge groups and some of its free parameters, might be derived from first principles.