3 papers
math-ph2025
Wiener-Type Theorems for the Laplace Transform. With Applications to Ground State Problems
Benjamin Hinrichs, Steffen Polzer
We study the behavior of a probability measure near the bottom of its support in terms of time averaged quotients of its Laplace transform. We discuss how our results are connected…
math-ph2025
On the Ising Phase Transition in the Infrared-Divergent Spin Boson Model
Volker Betz, Benjamin Hinrichs, Mino Nicola Kraft +1
We prove absence of ground states in the infrared-divergent spin boson model at large coupling. Our key argument reduces the proof to verifying long range order in the dual one-dim…
math.PR2021
A functional central limit theorem for Polaron path measures
Volker Betz, Steffen Polzer
The application of the Feynman-Kac formula to Polaron models of quantum theory leads to the path measure of Brownian motion perturbed by a pair potential that is translation invari…