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.
CITATION STYLE
Epelbaum, E., Gasparyan, A. M., Gegelia, J., & Meißner, U. G. (2018). How (not) to renormalize integral equations with singular potentials in effective field theory. European Physical Journal A, 54(11). https://doi.org/10.1140/epja/i2018-12632-1
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