On Existence of Ground States in the Spin Boson Model
Mathematical Physics
2021-10-22 v1 math.MP
Spectral Theory
Abstract
We show the existence of ground states in the massless spin boson model without any infrared regularization. Our proof is non-perturbative and relies on a compactness argument. It works for arbitrary values of the coupling constant under the hypothesis that the second derivative of the ground state energy as a function of a constant external magnetic field is bounded.
Keywords
Cite
@article{arxiv.2102.13373,
title = {On Existence of Ground States in the Spin Boson Model},
author = {David Hasler and Benjamin Hinrichs and Oliver Siebert},
journal= {arXiv preprint arXiv:2102.13373},
year = {2021}
}
Comments
14 pages