3 papers
math-ph2026
Spectral Analysis of a Soft Quantum Waveguide Coupled to a Massive Quantum Scalar Field
Benjamin Alvarez, Hugo Gouttenegre
We study a Nelson-type Hamiltonian describing a massive spinless non-relativistic particle moving in a planar soft quantum waveguide and linearly coupled to a massive scalar bosoni…
math-ph2026
Ultraviolet Renormalisation of a Quantum Field Toy Model II
Benjamin Alvarez, Jacob Schach Møller
We consider a class of toy models describing a fermion field coupled with a boson field. The model can be viewed as a Yukawa model but with scalar fermions. As in our first paper,…
math-ph2025
Renormalization of generalized spin-boson models with critical ultraviolet divergences
Benjamin Alvarez, Sascha Lill, Davide Lonigro +1
We provide a rigorous construction of generalized spin--boson models with commuting transition matrices and form factors exhibiting critical ultraviolet (UV) divergences. That is,…