62 citations · 183 across the 5 of their papers we have counts for
5 papers
Gauge Theories on Deformed Spaces
Daniel N. Blaschke, Erwin Kronberger, Rene I. P. Sedmik +1
The aim of this review is to present an overview over available models and approaches to non-commutative gauge theory. Our main focus thereby is on gauge models formulated on flat…
Loop Calculations for the Non-Commutative U(1) Gauge Field Model with Oscillator Term
Daniel N. Blaschke, Harald Grosse, Erwin Kronberger +2
Motivated by the success of the non-commutative scalar Grosse-Wulkenhaar model, a non-commutative U(1) gauge field theory including an oscillator-like term in the action has been p…
On the Problem of Renormalizability in Non-Commutative Gauge Field Models - A Critical Review
Daniel N. Blaschke, Erwin Kronberger, Arnold Rofner +3
When considering quantum field theories on non-commutative spaces one inevitably encounters the infamous UV/IR mixing problem. So far, only very few renormalizable models exist and…
Quantum Corrections for Translation-Invariant Renormalizable Non-Commutative Phi^4 Theory
Daniel N. Blaschke, Francois Gieres, Erwin Kronberger +3
In this paper we elaborate on the translation-invariant renormalizable Phi^4 theory in 4-dimensional non-commutative space which was recently introduced by the Orsay group. By expl…
Translation-invariant models for non-commutative gauge fields
Daniel N. Blaschke, Francois Gieres, Erwin Kronberger +2
Motivated by the recent construction of a translation-invariant renormalizable non-commutative model for a scalar field (see arXiv:0802.0791 [math-ph]), we introduce models for non…