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Ground States for translationally invariant Pauli-Fierz Models at zero Momentum

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arxiv 2007.01250 v2 pith:T5DIYEWC submitted 2020-07-02 math-ph math.FAmath.MP

David Hasler , Oliver Siebert This is my paper · ORCID
classification math-phmath.FAmath.MP
keywords groundinvariantmomentumpauli-fierztranslationallyzeroassumptionscharged
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We consider the translationally invariant Pauli-Fierz model describing a charged particle interacting with the electromagnetic field. We show under natural assumptions that the fiber Hamiltonian at zero momentum has a ground state.

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Cited by 1 Pith paper

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  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.

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