# Non-existence of ground states in the translation invariant Nelson model

@article{Dam2018NonexistenceOG, title={Non-existence of ground states in the translation invariant Nelson model}, author={Thomas Norman Dam}, journal={arXiv: Mathematical Physics}, year={2018} }

In this paper we consider the massless translation invariant Nelson model with ultraviolet cutoff. It is proven that the fiber operators have no ground state if there is no infrared cutoff.

#### 3 Citations

Infraparticle states in the massless Nelson model -- revisited

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On Renormalized Hamiltonian Nets

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We construct an abstract framework discribing a rich structure of energy-renormalized Hamiltonians and study its mathematical properties. In particular, we examine the semigroup generated by the… Expand

Absence of Ground States in the Renormalized Massless Translation-Invariant Nelson Model

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We consider the model of a massive non-relativistic spinless particle interacting with a massless bosonic field, widely referred to as the Nelson model. It is well known, that a UV renormalized… Expand

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