3 papers
math-ph2026
On the Ultraviolet Problem for the Ground State Energy of the Translation-Invariant Pauli--Fierz Model at Zero Total Momentum
Volker Bach, Miguel Ballesteros, Merten Mlinarzik
We study the ground state energy of the Pauli--Fierz model in the absence of external potentials. We consider the fiber decomposition of the Pauli--Fierz operator with respect to t…
math-ph2025
Limit absorption and Green function estimates for matrix-valued periodic operators
Miguel Ballesteros, Gerardo Franco Cordova, Hermann Schulz-Baldes
The boundary value of the resolvent of a generic periodic tight-binding Hamiltonian with matrix symbols is shown to satisfy a limit absorption principle which is continuous in ener…
math-ph2025
The Spectral Renormalization Flow Based on the Smooth Feshbach--Schur Map: The Introduction of the Semi-Group Property
Volker Bach, Miguel Ballesteros, Jakob Geisler
The spectral renormalization method is a powerful mathematical tool that is prominently used in spectral theory in the context of low-energy quantum field theory and its original i…