31 citations · 46 across the 12 of their papers we have counts for
5 papers · 1 filter
-Minkowski as tangent space I: quantum partition of unity
Kilian Hersent, Jean-Christophe Wallet
We define a quantum (noncommutative) analogue of locally trivial tangent bundle based on two main elements: the definition of local algebras through quotients of ideals of the glob…
On the UV/IR mixing of Lie algebra-type noncommutatitive -theories
Kilian Hersent
We show that a UV divergence of the propagator integral implies the divergences of the UV/IR mixing in the two-point function at one-loop for a -theory on a generic Lie algebr…
Field theories on -deformed Minkowski space-time
Kilian Hersent, Jean-Christophe Wallet
We study one-loop perturbative properties of scalar field theories on the -Minkowski space. The corresponding star-product, together with the involution are characterized from a…
Quantum properties of -like gauge theory on -Minkowski
Kilian Hersent
In the 5-dimensional twisted -like gauge theory on -Minkowski, the one-loop one-point (tadpole) function was computed in arXiv:2107.14462. This article summarizes the cons…
Quantum causality in -Minkowski and related constraints
Nicolas Franco, Kilian Hersent, Valentine Maris +1
We study quantum causal structures in -Minkowski space-time described by a Lorentzian Spectral Triple whose Dirac operator is built from a natural set of twisted derivatio…