Absence of Ground States for a Class of Translation Invariant Models of Non-relativistic QED

David Hasler; Ira Herbst

Absence of Ground States for a Class of Translation Invariant Models of Non-relativistic QED

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arxiv math-ph/0702096 v1 pith:XEKDLACX submitted 2007-02-28 math-ph math.MP

David Hasler , Ira Herbst This is my paper · ORCID

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keywords classgroundinvariantmodelsnon-relativisticstatestranslationabsence

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We consider a class of translation invariant models of non-relativistic QED with net charge. Under certain natural assumptions we prove that ground states do not exist in the Fock space.

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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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