117 citations · 258 across the 10 of their papers we have counts for
6 papers · 1 filter
Supersymmetry and noncommutative geometry Part III: The noncommutative supersymmetric Standard Model
Wim Beenakker, Walter D. van Suijlekom, Thijs van den Broek
In a previous paper we developed a formalism to construct (potentially) supersymmetric theories in the context of noncommutative geometry. We apply this formalism to explore the ex…
Supersymmetry and noncommutative geometry Part II: Supersymmetry breaking
Wim Beenakker, Walter D. van Suijlekom, Thijs van den Broek
We describe how a soft supersymmetry breaking Lagrangian arises naturally in the context of almost-commutative geometries that fall within the classification of those having a supe…
Supersymmetry and noncommutative geometry Part I: Supersymmetric almost-commutative geometries
Wim Beenakker, Walter D. van Suijlekom, Thijs van den Broek
Noncommutative geometry has seen remarkable applications for high energy physics, viz. the geometrical interpretation of the Standard Model. The question whether it also allows for…
Supersymmetric QCD and noncommutative geometry
Thijs van den Broek, Walter D. van Suijlekom
We derive supersymmetric quantum chromodynamics from a noncommutative manifold, using the spectral action principle of Chamseddine and Connes. After a review of the Einstein-Yang-M…
Recursive relations in the core Hopf algebra
Dirk Kreimer, Walter D. van Suijlekom
We study co-ideals in the core Hopf algebra underlying a quantum field theory.
Renormalization of gauge fields: A Hopf algebra approach
Walter D. van Suijlekom
We study the Connes-Kreimer Hopf algebra of renormalization in the case of gauge theories. We show that the Ward identities and the Slavnov-Taylor identities (in the abelian and no…