Work

The renormalized Nelson model in the weak coupling limit

Year: 2025

Type: article

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.

Source: Journal of Physics A Mathematical and Theoretical

DOI: 10.1088/1751-8121/adcdd9

Authors: Esteban Cárdenas, David Mitrouskas

Institutions: The University of Texas at Austin, Institute of Science and Technology Austria

Language: English

Topic: Spectral Theory in Mathematical Physics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,325

Funder: National Science Foundation