31 citations · 46 across the 12 of their papers we have counts for
12 papers
UV/IR mixing as an artifact of non-covariant quantisation
Kilian Hersent, Flavio Mercati
We study the path integral quantisation of a scalar field on a generic noncommutative deformation of Minkowski space, built as a quantum homogeneous space of a deformed Poincaré gr…
Thermal time of noncommutative Minkowski spacetime
Kilian Hersent
In this paper, we study the thermal time hypothesis of arXiv:gr-qc/9406019 in the context of noncommutative deformations of Minkowski. We show that a natural modular group arises f…
Field Theories on Quantum Space-Times: Towards the Phenomenology of Quantum Gravity
Kilian Hersent
Noncommutative geometry is a mathematical framework that expresses the structure of space-time in terms of operator algebras. By using the tools of quantum mechanics to describe th…
-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…
Gauge theories on quantum spaces
Kilian Hersent, Philippe Mathieu, Jean-Christophe Wallet
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 their con…
Gauge theory models on -Minkowski space: Results and prospects
Kilian Hersent, Jean-Christophe Wallet
Recent results obtained in -Poincaré invariant gauge theories on -Minkowski space are reviewed and commented. A Weyl quantization procedure can be applied to convolution alge…
Algebraic structures in -Poincaré invariant gauge theories
Kilian Hersent, Philippe Mathieu, Jean-Christophe Wallet
-Poincaré invariant gauge theories on -Minkowski space-time, which are noncommutative analogs of the usual gauge theory, exist only in five dimensions. These are built…
Quantum instability of gauge theories on -Minkowski space
Kilian Hersent, Philippe Mathieu, Jean-Christophe Wallet
We consider a gauge theory on the 5-d -Minkowski which can be viewed as the noncommutative analog of a gauge theory. We show that the Hermiticity condition obeyed by the…