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 …
Noncommutative field theories on : towards UV/IR mixing freedom
A bstract We consider the noncommutative space\(\mathbb {R} _ {\lambda}^ 3\), a
deformation of the algebra of functions on\({{\mathbb {R}}^ 3}\) which yields a “foliation” …
deformation of the algebra of functions on\({{\mathbb {R}}^ 3}\) which yields a “foliation” …
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 …
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 …
Slavnov-Taylor identities, non-commutative gauge theories and infrared divergences
A bstract In this work we clarify some properties of the one-loop IR divergences in
nonAbelian gauge field theories on non-commutative 4-dimensional Moyal space …
nonAbelian gauge field theories on non-commutative 4-dimensional Moyal space …
Involutive representations of coordinate algebras and quantum spaces
A bstract We show that\(\mathfrak {s}\mathfrak {u}(2)\) Lie algebras of coordinate operators
related to quantum spaces with\(\mathfrak {s}\mathfrak {u}(2)\) noncommutativity can be …
related to quantum spaces with\(\mathfrak {s}\mathfrak {u}(2)\) noncommutativity can be …
The Gribov problem in noncommutative QED
A bstract It is shown that in the noncommutative version of QED (NCQED) Gribov copies
induced by the noncommutativity of space-time appear in the Landau gauge. This is a …
induced by the noncommutativity of space-time appear in the Landau gauge. This is a …