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arXiv · 2210.15267

Renormalization of spin$\unicode{x2013}$boson interactions mediated by singular form factors

Davide Lonigro
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Abstract

We study and discuss the extension of the rotating-wave spin$\unicode{x2013}$boson model, together with more general models describing a system$\unicode{x2013}$field 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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Davide Lonigro. 2022-10-27. Renormalization of spin$\unicode{x2013}$boson interactions mediated by singular form factors. https://doi.org/10.1007/978-981-99-5884-9_3

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