Antoine Géré

Antoine Géré

PhD

About

4
Publications
312
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81
Citations
Additional affiliations
January 2013 - December 2015
Università degli Studi di Genova
Position
  • PhD Student
April 2012 - June 2012
Université Paris-Sud 11
Position
  • Master's Student

Publications

Publications (4)
Article
Full-text available
We show that natural noncommutative gauge theory models on $R^3_\lambda$ can accommodate gauge invariant harmonic terms, thanks to the existence of a relationship between the center of $R^3_\lambda$ and the components of the gauge invariant 1-form canonical connection. This latter object shows up naturally within the present noncommutative differen...
Article
Full-text available
We develop a renormalisation scheme for time--ordered products in interacting field theories on curved spacetimes which consists of an analytic regularisation of Feynman amplitudes and a minimal subtraction of the resulting pole parts. This scheme is directly applicable to spacetimes with Lorentzian signature, manifestly generally covariant, invari...
Article
Full-text available
We consider a class of gauge invariant models on the noncommutative space $\mathbb{R}^3_\lambda$, a deformation of $\mathbb{R}^3$. Focusing on massless models with no linear $A_i$ dependance, we obtain noncommutative gauge models for which the computation of the propagator can be done in a convenient gauge. We find that the infrared singularity of...
Article
Full-text available
Jacobi operators appear as kinetic operators of several classes of noncommutative field theories (NCFT) considered recently. This paper deals with the case of bounded Jacobi operators. A set of tools mainly issued from operator and spectral theory is given in a way applicable to the study of NCFT. As an illustration, this is applied to a gauge-fixe...

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