5 papers
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…
U_{q}(sl_{2}) at fourth root of unity
D. Kastler, T. Krajewski, P. Seibt +1
In this paper, we study finite dimensional quotients of the Hopf algebra U_{q}(sl_{2}) at fourth root of unity. We give explicitly all the corresponding automorphisms, real forms a…
Noncommutative geometry and fundamental interactions
T. Krajewski
This PhD thesis aims at describing the applications of noncommutative geometry to particle physics and quantum field theory. It includes a brief survey of the basic principles and…
Gauge invariance of the Chern-Simons action in noncommutative geometry
T. Krajewski
In complete analogy with the classical case, we define the Chern-Simons action functional in noncommutative geometry and study its properties under gauge transformations. As usual,…
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…