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math-ph2022★ 2 cited
Feynman-Kac formula and asymptotic behavior of the minimal energy for the relativistic Nelson model in two spatial dimensions
Benjamin Hinrichs, Oliver Matte
We consider the renormalized relativistic Nelson model in two spatial dimensions for a finite number of spinless, relativistic quantum mechanical matter particles in interaction wi…
math.FA2022★ 2 cited
Super-Gaussian Decay of Exponentials: A Sufficient Condition
Benjamin Hinrichs, Daan Willem Janssen, Jobst Ziebell
In this article, we present a sufficient condition for the exponential to have a tail decay stronger than any Gaussian, where is defined on a locally convex space…
math-ph2022★ 1 cited
Existence of Ground States in the Infrared-Critial Spin Boson Model
Benjamin Hinrichs
We review recent results on the existence of ground states for the infrared-critical spin boson model, which describes the interaction of a massless bosonic field with a two-state…