The renormalized Nelson model in the weak coupling limit

Cárdenas, Esteban; Mitrouskas, David Johannes

The renormalized Nelson model in the weak coupling limit

Cárdenas E, Mitrouskas DJ. 2025. The renormalized Nelson model in the weak coupling limit. Journal of Physics A: Mathematical and Theoretical. 58(17), 175201.

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DOI

10.1088/1751-8121/adcdd9

Journal Article | Published | English

Scopus indexed

Author

Cárdenas, Esteban; Mitrouskas, David Johannes^ISTA

Corresponding author has ISTA affiliation

Department

Seiringer Group

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.

Publishing Year

2025

Date Published

2025-04-28

Journal Title

Journal of Physics A: Mathematical and Theoretical

Publisher

IOP Publishing

Acknowledgement

D M thanks Nataˇsa Pavlovi´c for the invitation to the University of Texas at Austin and for the hospitality offered by the department, where part of this work was performed. E C gratefully acknowledges support from NSF under Grant Nos DMS-2009549 and DMS-2052789 through Nataˇsa Pavlovi´

Volume

Issue

Article Number

175201

ISSN

1751-8113

eISSN

1751-8121

IST-REx-ID

19661

Cite this

Cárdenas E, Mitrouskas DJ. The renormalized Nelson model in the weak coupling limit. Journal of Physics A: Mathematical and Theoretical. 2025;58(17). doi:10.1088/1751-8121/adcdd9

Cárdenas, E., & Mitrouskas, D. J. (2025). The renormalized Nelson model in the weak coupling limit. Journal of Physics A: Mathematical and Theoretical. IOP Publishing. https://doi.org/10.1088/1751-8121/adcdd9

Cárdenas, Esteban, and David Johannes Mitrouskas. “The Renormalized Nelson Model in the Weak Coupling Limit.” Journal of Physics A: Mathematical and Theoretical. IOP Publishing, 2025. https://doi.org/10.1088/1751-8121/adcdd9.

E. Cárdenas and D. J. Mitrouskas, “The renormalized Nelson model in the weak coupling limit,” Journal of Physics A: Mathematical and Theoretical, vol. 58, no. 17. IOP Publishing, 2025.

Cárdenas E, Mitrouskas DJ. 2025. The renormalized Nelson model in the weak coupling limit. Journal of Physics A: Mathematical and Theoretical. 58(17), 175201.

Cárdenas, Esteban, and David Johannes Mitrouskas. “The Renormalized Nelson Model in the Weak Coupling Limit.” Journal of Physics A: Mathematical and Theoretical, vol. 58, no. 17, 175201, IOP Publishing, 2025, doi:10.1088/1751-8121/adcdd9.

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