4 papers
Non-Trivial Renormalization of Spin-Boson Models with Supercritical Form Factors
Marco Falconi, Benjamin Hinrichs, Javier ValentÃn MartÃn
In this paper we construct the non-trivial, renormalized Hamiltonian for a class of spin-boson models with supercritical form factors, including the one describing the Weisskopf-Wi…
Wave Function Renormalization for Particle-Field Interactions
Marco Falconi, Benjamin Hinrichs, Javier ValentÃn MartÃn
In this paper, we develop a wave function renormalization scheme for models of non-relativistic quantum particles interacting with a quantized relativistic field, in the Hamiltonia…
Ultraviolet Renormalization of the van Hove-Miyatake Model: an Algebraic and Hamiltonian Approach
Marco Falconi, Benjamin Hinrichs
In this short communication we discuss the ultraviolet renormalization of the van Hove-Miyatake scalar field, generated by any distributional source. An abstract algebraic approach…
Abstract semiclassical analysis of the van Hove model
Marco Falconi, Lorenzo Fratini
In this paper we study the semiclassical limit of a completely solvable model in quantum field theory: the van Hove model, describing a scalar field created and anni…