Asymptotics in Spin-Boson Type Models

@article{Dam2018AsymptoticsIS,
  title={Asymptotics in Spin-Boson Type Models},
  author={Thomas Norman Dam and Jacob Schach M{\o}ller},
  journal={Communications in Mathematical Physics},
  year={2018},
  volume={374},
  pages={1389-1415}
}
In this paper, we investigate a family of models for a qubit interacting with a bosonic field. More precisely, we find asymptotic limits of the Hamiltonian as the interaction strength tends to infinity. The main result has two applications. First of all, we show that any self-energy renormalisation scheme similar to that of the Nelson model does not converge for the three-dimensional Spin-Boson model. Secondly, we show that excited states exist in the massive Spin-Boson model for sufficiently… 
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