171 citations · 222 across the 11 of their papers we have counts for
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FKN Formula and Ground State Energy for the Spin Boson Model with External Magnetic Field
David Hasler, Benjamin Hinrichs, Oliver Siebert
We consider the spin boson model with external magnetic field. We prove a path integral formula for the heat kernel, known as Feynman-Kac-Nelson (FKN) formula. We use this path int…
Correlation Bound for a One-Dimensional Continuous Long-Range Ising Model
David Hasler, Benjamin Hinrichs, Oliver Siebert
We consider a measure given as the continuum limit of a one-dimensional Ising model with long-range translationally invariant interactions. Mathematically, the measure can be descr…
On Existence of Ground States in the Spin Boson Model
David Hasler, Benjamin Hinrichs, Oliver Siebert
We show the existence of ground states in the massless spin boson model without any infrared regularization. Our proof is non-perturbative and relies on a compactness argument. It…