Gauge theories on quantum spaces
We review the present status of gauge theories built on various quantum space–times
described by noncommutative space–times. The mathematical tools and notions underlying …
described by noncommutative space–times. The mathematical tools and notions underlying …
Gauge theory on ρ-Minkowski space-time
A bstract We construct a gauge theory model on the 4-dimensional ρ-Minkowski space-time,
a particular deformation of the Minkowski space-time recently considered. The …
a particular deformation of the Minkowski space-time recently considered. The …
Quantum gauge theories on noncommutative three-dimensional space
We consider a class of gauge-invariant models on the noncommutative space R λ 3, a
deformation of the algebra of functions on R 3. Focusing on massless models with no linear …
deformation of the algebra of functions on R 3. Focusing on massless models with no linear …
Noncommutative gauge theories on $${\mathrm {\mathbb {R}}} _ {\uplambda}^ 3$$: perturbatively finite models
A bstract We show that natural noncommutative gauge theory models on\({\mathrm {\mathbb
{R}}} _ {\uplambda}^ 3\) can accommodate gauge invariant harmonic terms, thanks to the …
{R}}} _ {\uplambda}^ 3\) can accommodate gauge invariant harmonic terms, thanks to the …
[HTML][HTML] Exact partition functions for gauge theories on Rλ3
The noncommutative space R λ 3, a deformation of R 3, supports a 3-parameter family of
gauge theory models with gauge-invariant harmonic term, stable vacuum and which are …
gauge theory models with gauge-invariant harmonic term, stable vacuum and which are …
Noncommutative gauge theories on as matrix models
A bstract We study a class of noncommutative gauge theory models on 2-dimensional Moyal
space from the viewpoint of matrix models and explore some related properties. Expanding …
space from the viewpoint of matrix models and explore some related properties. Expanding …
Twisted BRST symmetry in gauge theories on the -Minkowski spacetime
Algebraic properties of the Becchi-Rouet-Stora-Tyutin (BRST) symmetry associated to the
twisted gauge symmetry occurring in the κ-Poincaré invariant gauge theories on the κ …
twisted gauge symmetry occurring in the κ-Poincaré invariant gauge theories on the κ …
Algebraic structures in -Poincaré invariant gauge theories
κ-Poincaré invariant gauge theories on κ-Minkowski space-time, which are noncommutative
analogs of the usual U (1) gauge theory, exist only in five dimensions. These are built from …
analogs of the usual U (1) gauge theory, exist only in five dimensions. These are built from …
Closed star product on noncommutative ℝ 3 and scalar field dynamics
A bstract We consider the noncommutative space ℝ 3 θ, a deformation of ℝ 3 for which the
star product is closed for the trace functional. We study one-loop IR and UV properties of the …
star product is closed for the trace functional. We study one-loop IR and UV properties of the …
Quantum instability of gauge theories on -Minkowski space
We consider a gauge theory on the 5D κ-Minkowski which can be viewed as the
noncommutative analog of a U (1) gauge theory. We show that the Hermiticity condition …
noncommutative analog of a U (1) gauge theory. We show that the Hermiticity condition …