%0 Journal Article
%T Hedin equations in resonant micro-cavities
%A P. E. Trevisanutto
%A M. Millettari
%J Physics
%D 2015
%I arXiv
%R 10.1103/PhysRevB.92.235303
%X With the improvement of the experimental techniques, many new phenomena where the photon degrees of freedom are involved have been discovered. Typical examples are the exciton-polariton quasi-particles, excitons strongly coupled to photons. A correct description of these systems requires a full account of the photon's dynamics, including the vector gauge degrees of freedom. In order to include this contribution in \emph{ab initio} many-body perturbation theories, here we present a generalization of the Hedin equations, originally derived for a many electron system with Coulomb interaction. These equations are now derived in order to take into account the strong coupling physics of the electrons and the \textit{transverse} photon's degrees of freedom.
%U http://arxiv.org/abs/1509.02656v2