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

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arxiv 1808.00088 v2 pith:ER54IF4H submitted 2018-07-31 math-ph math.MP

Thomas Norman Dam This is my paper · ORCID
classification math-phmath.MP
keywords cutoffgroundinvariantmodelnelsontranslationconsiderfiber
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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.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. On the Ising Phase Transition in the Infrared-Divergent Spin Boson Model

    math-ph 2025-01 conditional novelty 8.0 of 10

    Infrared-divergent spin boson model loses its ground state above a finite critical coupling, proved via long range order in a dual continuum Ising model.

  2. On the Ergodicity of Renormalized Translation-Invariant Nelson-Type Semigroups

    math-ph 2024-12 conditional novelty 7.0 of 10

    For negative coupling, the renormalized non-relativistic and semi-relativistic Nelson semigroups are positivity improving with respect to the Fröhlich cone at every total momentum, proven via Feynman-Kac functional in...

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