7 citations · 7 across the 1 of their papers we have counts for
8 papers
Quantum field theories on noncommutative R^4 versus theta-expanded quantum field theories
Raimar Wulkenhaar
I recall the main motivation to study quantum field theories on noncommutative spaces and comment on the most-studied example, the noncommutative R^4. That algebra is given by the…
Deformed QED via Seiberg-Witten Map
A. A. Bichl, J. M. Grimstrup, L. Popp +2
With the help of the Seiberg-Witten map for photons and fermions we define a theta-deformed QED at the classical level. Two possibilities of gauge-fixing are discussed. A possible…
The energy-momentum tensor on noncommutative spaces - some pedagogical comments
A. Gerhold, J. Grimstrup, H. Grosse +3
We present the discussion of the energy-momentum tensor of the scalar - theory on a noncommutative space. The Noether procedure is performed at the operator level. Additionall…
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…
Introduction to Hopf algebras in renormalization and noncommutative geometry
Raimar Wulkenhaar
We review the appearance of Hopf algebras in the renormalization of quantum field theories and in the study of diffeomorphisms of the frame bundle important for index computations…
On Feynman graphs as elements of a Hopf algebra
Raimar Wulkenhaar
We review Kreimer's construction of a Hopf algebra associated to the Feynman graphs of a perturbative quantum field theory.