5 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 g…
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…
-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…
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…
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 algeb…