Renormalizability and nonrenormalizability of nonlocal potentials

N. Jacobi; A. M. Gasparyan; E. Epelbaum

doi:10.1103/79nk-9dkq

Renormalizability and nonrenormalizability of nonlocal potentials

N. Jacobi ^1,*, A. M. Gasparyan ^2,†, and E. Epelbaum ^2,‡

¹Universität Bonn, D-53113 Bonn, Germany
²Ruhr-Universität Bochum, Fakultät für Physik und Astronomie, Institut für Theoretische Physik II, D-44780 Bochum, Germany

^*Contact author: s83njaco@uni-bonn.de
^†Contact author: ashot.gasparyan@rub.de
^‡Contact author: evgeny.epelbaum@rub.de

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Phys. Rev. C 112, 064006 – Published 17 December, 2025

DOI: https://doi.org/10.1103/79nk-9dkq

Abstract

We consider separable toy models of the nucleon-nucleon interaction inspired by chiral effective field theory. We show that nonlocality of the long-range forces causes the need for nonlocal counter terms, or even makes the whole approach nonrenormalizable.

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Physical Review C

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Renormalizability and nonrenormalizability of nonlocal potentials

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Renormalizability and nonrenormalizability of nonlocal potentials

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