The renormalized Nelson model in the weak coupling limit
Mathematical Physics
2024-12-03 v1 Analysis of PDEs
Functional Analysis
math.MP
Abstract
The Nelson model describes non-relativistic particles coupled to a relativistic Bose scalar field. In this article, we study the renormalized version of the Nelson model with massless bosons in Davies' weak coupling limit. Our main result states that the two-body Coulomb potential emerges as an effective pair interaction between the particles, which arises from the exchange of virtual excitations of the quantum field.
Cite
@article{arxiv.2412.01670,
title = {The renormalized Nelson model in the weak coupling limit},
author = {Esteban Cárdenas and David Mitrouskas},
journal= {arXiv preprint arXiv:2412.01670},
year = {2024}
}
Comments
25 pages, 1 table, 0 figures