How (not) to renormalize integral equations with singular potentials in effective field theory
Nuclear Theory
2018-11-14 v1 High Energy Physics - Phenomenology
High Energy Physics - Theory
Abstract
We discuss the connection between the perturbative and non-perturbative renormalization and related conceptual issues in the few-nucleon sector of the low-energy effective field theory of the strong interactions. General arguments are supported by examples from effective theories with and without pions as dynamical degrees of freedom. A quantum mechanical potential with explicitly specified short- and long-range parts is considered as an "underlying fundamental theory" and the corresponding effective field theory potential is constructed. Further, the problem of the effective field theoretical renormalization of the Skornyakov-Ter-Martyrosian equation is revisited.
Cite
@article{arxiv.1810.02646,
title = {How (not) to renormalize integral equations with singular potentials in effective field theory},
author = {E. Epelbaum and A. M. Gasparyan and J. Gegelia and Ulf-G. Meißner},
journal= {arXiv preprint arXiv:1810.02646},
year = {2018}
}
Comments
12 pages, 5 figures