Kilian Hersent

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20212026

most citedGauge theories on quantum spaces

31 citations · 46 across the 12 of their papers we have counts for

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hep-th2026

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…

hep-th2025

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…

hep-th2023★ 1 cited

On the UV/IR mixing of Lie algebra-type noncommutatitive $ϕ^{4}$ -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 $ϕ^{4}$ -theory on a generic Lie algebr…

hep-th2023★ 6 cited

Field theories on $ρ$ -deformed Minkowski space-time

Kilian Hersent, Jean-Christophe Wallet

We study one-loop perturbative properties of scalar field theories on the $ρ$ -Minkowski space. The corresponding star-product, together with the involution are characterized from a…

hep-th2023

Quantum properties of $U (1)$ -like gauge theory on $κ$ -Minkowski

Kilian Hersent

In the 5-dimensional twisted $U (1)$ -like gauge theory on $κ$ -Minkowski, the one-loop one-point (tadpole) function was computed in arXiv:2107.14462. This article summarizes the cons…

hep-th2022★ 31 cited

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…

hep-th2022

Gauge theory models on $κ$ -Minkowski space: Results and prospects

Kilian Hersent, Jean-Christophe Wallet

Recent results obtained in $κ$ -Poincaré invariant gauge theories on $κ$ -Minkowski space are reviewed and commented. A Weyl quantization procedure can be applied to convolution alge…

hep-th2021

Algebraic structures in $κ$ -Poincaré invariant gauge theories

Kilian Hersent, Philippe Mathieu, Jean-Christophe Wallet

$κ$ -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…

hep-th2021★ 7 cited

Quantum instability of gauge theories on $κ$ -Minkowski space

Kilian Hersent, Philippe Mathieu, Jean-Christophe Wallet

We consider a gauge theory on the 5-d $κ$ -Minkowski which can be viewed as the noncommutative analog of a $U (1)$ gauge theory. We show that the Hermiticity condition obeyed by the…

UV/IR mixing as an artifact of non-covariant quantisation

Thermal time of noncommutative Minkowski spacetime

On the UV/IR mixing of Lie algebra-type noncommutatitive ϕ4-theories

Field theories on ρ-deformed Minkowski space-time

Quantum properties of U(1)-like gauge theory on κ-Minkowski

Gauge theories on quantum spaces

Gauge theory models on κ-Minkowski space: Results and prospects

Algebraic structures in κ-Poincaré invariant gauge theories

Quantum instability of gauge theories on κ-Minkowski space

On the UV/IR mixing of Lie algebra-type noncommutatitive $ϕ^{4}$ -theories

Field theories on $ρ$ -deformed Minkowski space-time

Quantum properties of $U (1)$ -like gauge theory on $κ$ -Minkowski

Gauge theory models on $κ$ -Minkowski space: Results and prospects

Algebraic structures in $κ$ -Poincaré invariant gauge theories

Quantum instability of gauge theories on $κ$ -Minkowski space