Nov 5 – 7, 2025
Laboratoire de Mathématiques de Reims
Europe/Paris timezone

Renormalization of the spin-boson model

Nov 6, 2025, 11:10 AM
45m
Amphi E (Laboratoire de Mathématiques de Reims)

Amphi E

Laboratoire de Mathématiques de Reims

Université de Reims Champagne Ardenne, Mathématiques - CNRS UMR9008 Moulin de la Housse B.P. 1039 - 51687 REIMS Cedex

Speaker

Marco FALCONI (Université de Milan)

Description

In this talk I will present new results concerning the well-posedness of the spin-boson dynamics for arbitrarily singular form factors. The Hamiltonian operator is obtained through a self-energy and wave function renormalization procedure, and it lies on a non-Fock representation of the canonical commutation relations. This renormalization is non-trivial, thus overcoming the problem of triviality in Fock representation renormalization schemes.
Based on a joint work with B. Hinrichs and J. Valentín Martín

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