Table of Contents

I: The Vacuum Energy.- On the Cosmological Constant Problems and the Astronomical Evidence for a Homogeneous Energy Density with Negative Pressure.- à l’effet Casimir.- Casimir Effect and Geometry.- Measurement of the Atom-Wall Interaction: from London to Casimir¡ªPolder.- Recent Experiments on the Casimir Effect: Description and Analysis.- Dark Energy and the Destiny of the Universe.- II: The Renormalization.- An Introduction to Renormalization.- Exact Renormalization Group.- Phase Transitions and Renormalization Group: from Theory to Numbers.- Symétries galoisiennes et renormalisation.- The Anomalous Magnetic Moments of the Electron and the Muon.- Physics at the Large Hadron Collider.

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