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arXiv · 2603.07045

Wave Function Renormalization for Particle-Field Interactions

Marco Falconi·Benjamin Hinrichs·Javier Valentín Martín
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Abstract

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 Hamiltonian formalism of quantum field theory. We construct the interacting Hamilton operator, in its ground state representation, for a large class of particle-field interactions; hereby addressing a number of open problems related to both ultraviolet and infrared singularities in the spin-boson and Nelson models, where the infinite wave function renormalization plays a fundamental role.

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Marco Falconi, Benjamin Hinrichs, Javier Valentín Martín. 2026-03-07. Wave Function Renormalization for Particle-Field Interactions. https://arxiv.org/abs/2603.07045

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