I.M. Sigal
Renormalization Group and Problem of Radiation
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ABSTRACT. The standard model of non-relativistic quantum electrodynamics describes non-relativistic quantum matter, such as atoms and molecules, coupled to the quantized electromagnetic field. Within this model, we review basic notions, results and techniques in theory radiation. We describe the key technique in this area - the spectral renormalization group. Our review is based on joint works with Volker Bach and Juerg Froehlich and with Walid Abou Salem, Thomas Chen, Jeremy Faupin and Marcel Griesemer. Brief discussion of related contributions is given at the end of these lectures. This review will appear in "Quantum Theory from Small to Large Scales", Lecture Notes of the Les Houches Summer Schools, volume 95, Oxford University Press, 2011.