Renormalization of spinx2013boson interactions mediated by singular form factors
Abstract
We study and discuss the extension of the rotating-wave spinx2013boson model, together with more general models describing a systemx2013field coupling with a similar rotating-wave structure, to interactions mediated by possibly singular (non-normalizable) form factors satisfying a weaker growth constraint. To this purpose, a construction of annihilation and creation operators as continuous maps on a scale of Fock spaces, together with a rigorous renormalization procedure, is employed.
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