@article{43491,
  abstract     = {{We consider a model for a massive uncharged non-relativistic particle interacting with a massless bosonic field, widely referred to as the Nelson model. It is well known that an ultraviolet renormalized Hamilton operator exists in this case. Further, due to translation-invariance, it decomposes into fiber operators. In this paper, we treat the renormalized fiber operators. We give a description of the operator and form domains and prove that the fiber operators do not have a ground state. Our results hold for any non-zero coupling constant and arbitrary total momentum. Our proof for the absence of ground states is a new generalization of methods recently applied to related models. A major enhancement we provide is that the method can be applied to models with degenerate ground state eigenspaces.}},
  author       = {{Dam, Thomas Norman and Hinrichs, Benjamin}},
  issn         = {{0129-055X}},
  journal      = {{Reviews in Mathematical Physics}},
  number       = {{10}},
  publisher    = {{World Scientific Pub Co Pte Ltd}},
  title        = {{{Absence of ground states in the renormalized massless translation-invariant Nelson model}}},
  doi          = {{10.1142/s0129055x22500337}},
  volume       = {{34}},
  year         = {{2022}},
}