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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Derives new Feynman-Kac formulas for fiber Hamiltonians of the 2D relativistic Nelson model by applying estimates from the authors' recent preprint.
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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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Feynman-Kac formula for fiber Hamiltonians in the relativistic Nelson model in two spatial dimensions
Derives new Feynman-Kac formulas for fiber Hamiltonians of the 2D relativistic Nelson model by applying estimates from the authors' recent preprint.