We review the approach to the Standard Model of particle interactions based on spectral
noncommutative geometry. The paper is (nearly) self-contained and presents both the …

A bstract In the context of the spectral action and the noncommutative geometry approach to
the standard model, we build a model based on a larger symmetry. With this grand symmetry …

We discuss the propagation of bosons (scalars, gauge fields and gravitons) at high energy
in the context of the spectral action. Using heat kernel techniques, we find that in the high …

A bstract The Minimal Dilaton Model (MDM) extends the Standard Model (SM) by a singlet
scalar, which can be viewed as a linear realization of general dilaton field. This new scalar …

In this paper we propose a novel definition of the bosonic spectral action using zeta function
regularization, in order to address the issues of renormalizability and spectral dimensions …

We review the noncommutative approach to the standard model. We start with the
introduction if the mathematical concepts necessary for the definition of noncommutative …

Using spectral regularisation, we compute the Weyl anomaly and express the anomaly
generating functional of the quantum effective action through a collective scalar degree of …

We investigate whether inclusion of dimension 6 terms in the Standard Model Lagrangian
may cause the unification of the coupling constants at a scale comprised between 1014 and …

We consider aspects of the noncommutative approach to the standard model based on the
spectral action principle. We show that as a consequence of the incorporation of the Clifford …

We study the dimensional aspect of the geometry of quantum spaces. Introducing a
physically motivated notion of the scaling dimension, we study in detail the model based on …