113 citations · 729 across the 33 of their papers we have counts for
12 papers · 1 filter
Linearized Group Field Theory and Power Counting Theorems
Joseph Ben Geloun, Thomas Krajewski, Jacques Magnen +1
We introduce a linearized version of group field theory. It can be viewed either as a group field theory over the additive group of a vector space or as an asymptotic expansion 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…
Seesaw and noncommutative geometry
J. -H. Jureit, Thomas Krajewski, Thomas Schucker +1
The 1-loop corrections to the seesaw mechanism in the noncommutative standard model are computed. Other consequences of the Lorentzian signature in the inner space are summarised.
Quasi-quantum groups from strings
J. -H. Jureit, T. Krajewski
Motivated by string theory on the orbifold in presence of a Kalb-Ramond field strength , we define the operators that lift the group action to the twisted sectors.…
On the noncommutative standard model
Jan-H. Jureit, Thomas Krajewski, Thomas Schucker +1
We propose a pedestrian review of the noncommutative standard model in its present state.
Quantum field theory on projective modules
V. Gayral, J. -H. Jureit, T. Krajewski +1
We propose a general formulation of perturbative quantum field theory on (finitely generated) projective modules over noncommutative algebras. This is the analogue of scalar field…
Exact solitons on noncommutative tori
T. Krajewski, M. Schnabl
We construct exact solitons on noncommutative tori for the type of actions arising from open string field theory. Given any projector that describes an extremum of the tachyon pote…
Some Properties of Non-linear -Models in Noncommutative Geometry
Ludwik Dabrowski, Thomas Krajewski, Giovanni Landi
We introduce non-linear -models in the framework of noncommutative geometry with special emphasis on models defined on the noncommutative torus. We choose as target spaces the t…
Renormalization of noncommutative Yang-Mills theories: A simple example
Harald Grosse, Thomas Krajewski, Raimar Wulkenhaar
We prove by explicit calculation that Feynman graphs in noncommutative Yang-Mills theory made of repeated insertions into itself of arbitrarily many one-loop ghost propagator corre…
On Kreimer's Hopf algebra structure of Feynman graphs
Thomas Krajewski, Raimar Wulkenhaar
We reinvestigate Kreimer's Hopf algebra structure of perturbative quantum field theories with a special emphasis on overlapping divergences. Kreimer first disentangles overlapping…
Constraints on the scalar potential from spectral action principle
T. Krajewski
Using noncommutative geometry, the standard tools of differential geometry can be extended to a broad class of spaces whose coordinates are noncommuting operators acting on a Hilbe…
Classification of Finite Spectral Triples
Thomas Krajewski
It is known that the spin structure on a Riemannian manifold can be extended to noncommutative geometry using the notion of a spectral triple. For finite geometries, the correspond…