109 citations · 712 across the 45 of their papers we have counts for
13 papers · 1 filter
Lorentz signature and twisted spectral triples
Agostino Devastato, Shane Farnsworth, Fedele Lizzi +1
We show how twisting the spectral triple of the Standard Model of elementary particles naturally yields the Krein space associated with the Lorentzian signature of spacetime. We di…
Beyond the Standard Model with noncommutative geometry, strolling towards quantum gravity
Pierre Martinetti
Noncommutative geometry, in its many incarnations, appears at the crossroad of various researches in theoretical and mathematical physics: from models of quantum space-time (with o…
Twisted spectral geometry for the standard model
Pierre Martinetti
The Higgs field is a connection one-form as the other bosonic fields, provided one describes space no more as a manifold M but as a slightly non-commutative generalization of it. T…
Twisted spectral triple for the Standard Model and spontaneous breaking of the Grand Symmetry
Agostino Devastato, Pierre Martinetti
Grand symmetry models in noncommutative geometry have been introduced to explain how to generate minimally (i.e. without adding new fermions) an extra scalar field beyond the stand…
Noncommutative gauge theories on as matrix models
Pierre Martinetti, Patrizia Vitale, Jean-Christophe Wallet
We study a class of noncommutative gauge theory models on 2-dimensional Moyal space from the viewpoint of matrix models and explore some related properties. Expanding the action ar…
Grand Symmetry, Spectral Action, and the Higgs mass
Agostino Devastato, Fedele Lizzi, Pierre Martinetti
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" it is…
The spectral distance on the Moyal plane
Eric Cagnache, Francesco D'Andrea, Pierre Martinetti +1
We study the noncommutative geometry of the Moyal plane from a metric point of view. Starting from a non compact spectral triple based on the Moyal deformation A of the algebra of…
Wilsonian renormalization, differential equations and Hopf algebras
Thomas Krajewski, Pierre Martinetti
In this paper, we present an algebraic formalism inspired by Butcher's B-series in numerical analysis and the Connes-Kreimer approach to perturbative renormalization. We first defi…
Twisted Hopf symmetries of canonical noncommutative spacetimes and the no-pure-boost principle
Giovanni Amelino-Camelia, Fabio Briscese, Giulia Gubitosi +3
We study the twisted-Hopf-algebra symmetries of observer-independent canonical spacetime noncommutativity, for which the commutators of the spacetime coordinates take the form [x^{…
A no-pure-boost uncertainty principle from spacetime noncommutativity
Giovanni Amelino-Camelia, Giulia Gubitosi, Antonino Marcianó +2
We study boost and space-rotation transformations in kappa-Minkowski noncommutative spacetime, using the techniques that some of us had previously developed (hep-th/0607221) for a…
Smoother than a circle, or How non commutative geometry provides the torus with an egocentred metric
Pierre Martinetti
We give an overview on the metric aspect of noncommutative geometry, especially the metric interpretation of gauge fields via the process of "fluctuation of the metric". Connes' di…
An algebraic Birkhoff decomposition for the continuous renormalization group
F. Girelli, T. Krajewski, P. Martinetti
This paper aims at presenting the first steps towards a formulation of the Exact Renormalization Group Equation in the Hopf algebra setting of Connes and Kreimer. It mostly deals w…
Discrete Kaluza-Klein from scalar fluctuations in noncommutative geometry
P. Martinetti, R. Wulkenhaar
We compute the metric associated to noncommutative spaces described by a tensor product of spectral triples. Well known results of the two-sheets model (distance on a sheet, distan…