Proves equivalences among no-BEC conditions (no ODLRO, vanishing zero-mode form and condensate density, trivial BEC ideal) in Nelson and Pauli-Fierz models when test functions distinguish the zero mode, plus uniform resolvent-algebra descriptions.
On the Ising Phase Transition in the Infrared-Divergent Spin Boson Model
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A Feynman-Kac formula is proved for the ultraviolet-renormalized spin-boson model, showing that ground state existence for infrared-regular versions survives removal of the ultraviolet cutoff.
No-go theorem for quasiparticle BEC in the spin-boson model is stated, with the observation that the model does not follow the referenced no-go criterion from arxiv:1207.4621.
citing papers explorer
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No-Go Theorem for BEC in the Nelson and Pauli--Fierz Models
Proves equivalences among no-BEC conditions (no ODLRO, vanishing zero-mode form and condensate density, trivial BEC ideal) in Nelson and Pauli-Fierz models when test functions distinguish the zero mode, plus uniform resolvent-algebra descriptions.
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A Feynman-Kac Formula for the Subcritical Ultraviolet-Renormalized Spin Boson Model
A Feynman-Kac formula is proved for the ultraviolet-renormalized spin-boson model, showing that ground state existence for infrared-regular versions survives removal of the ultraviolet cutoff.
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No-Go Theorem for Quasiparticle BEC in the Spin-Boson Model
No-go theorem for quasiparticle BEC in the spin-boson model is stated, with the observation that the model does not follow the referenced no-go criterion from arxiv:1207.4621.