36 citations · 138 across the 9 of their papers we have counts for
7 papers · 1 filter
Localization and Reference Frames in -Minkowski Spacetime
Fedele Lizzi, Mattia Manfredonia, Flavio Mercati +1
We study the limits to the localizability of events and reference frames in the -Minkowski quantum spacetime. Our main tool will be a representation of the -Minkowski commuta…
On the quantum structure of spacetime and its relation to the quantum theory of fields: -Poincaré invariant field theories and other examples
Timothé Poulain
The dissertation deals with noncommutative field theories, namely field theories compatible with the existence of a minimal (quantum gravity) length scale. Two families of quantum…
-Poincaré invariant orientable field theories at 1-loop
Timothé Poulain, Jean-Christophe Wallet
We consider a family of -Poincaré invariant scalar field theories on 4-d -Minkowski space with quartic orientable interaction, that is for which and its conjugate a…
Vacuum energy and the cosmological constant problem in -Poincaré invariant field theories
Tajron Jurić, Timothé Poulain, Jean-Christophe Wallet
We investigate the vacuum energy in -Poincaré invariant field theories. It is shown that for the equivariant Dirac operator one obtains an improvement in UV behavior of the vacu…
-Poincaré invariant quantum field theories with KMS weight
T. Poulain, J. -C. Wallet
A natural star product for 4-d -Minkowski space is used to investigate various classes of -Poincaré invariant scalar field theories with quartic interactions whose commutativ…
Involutive representations of coordinate algebras and quantum spaces
Tajron Jurić, Timothé Poulain, Jean-Christophe Wallet
We show that Lie algebras of coordinate operators related to quantum spaces with noncommutativity can be conveniently represented by -covariant…
Closed star product on noncommutative and scalar field dynamics
Tajron Jurić, Timothé Poulain, Jean-Christophe Wallet
We consider the noncommutative space , a deformation of for which the star product is closed for the trace functional. We study one-loop IR and UV pr…