102 citations · 235 across the 7 of their papers we have counts for
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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…
Induced Gauge Theory on a Noncommutative Space
Michael Wohlgenannt
We discuss the calculation of the 1-loop effective action on four dimensional, canonically deformed Euclidean space. The theory under consideration is a scalar model with an…
Emergent Gravity, Matrix Models and UV/IR Mixing
Harald Grosse, Harold Steinacker, Michael Wohlgenannt
We verify explicitly that UV/IR mixing for noncommutative gauge theory can be understood in terms of an induced gravity action, as predicted by the identification [1] of gravity wi…
Remarks on the 2nd order Seiberg-Witten maps
Josip Trampetic, Michael Wohlgenannt
In this report, we discuss the Seiberg-Witten maps up to the second order in the noncommutative parameter . They add to the recently published solutions in [1]. Expressions for…
Renormalization and Induced Gauge Action on a Noncommutative Space
Harald Grosse, Michael Wohlgenannt
Field theories on deformed spaces suffer from the IR/UV mxing and renormalization is generically spoiled. In work with R. Wulkenhaar, one of us realized a way to cure this desease…
Induced Gauge Theory on a Noncommutative Space
Harald Grosse, Michael Wohlgenannt
We consider a scalar theory on canonically deformed Euclidean space in 4 dimensions with an additional oscillator potential. This model is known to be renormalisable. An exte…