3 papers
math-ph2026
Lower bound on the energy-momentum relation of the polaron
Steffen Polzer
For a class of polaron-type models, we establish a lower bound on the energy-momentum relation in terms of the vacuum overlap and the spectral gap of the total momentum zero Hamilt…
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…