https://doi.org/10.1140/epja/s10050-020-00162-4
Regular Article –Theoretical Physics
How to renormalize integral equations with singular potentials in effective field theory
1
Faculty of Physics and Astronomy, Institute for Theoretical Physics II, Ruhr University Bochum, 44870, Bochum, Germany
2
NRC “Kurchatov Institute”, ITEP, B. Cheremushkinskaya 25, 117218, Moscow, Russia
3
Tbilisi State University, 0186, Tbilisi, Georgia
4
Helmholtz Institut für Strahlen- und Kernphysik and Bethe Center for Theoretical Physics, Universität Bonn, 53115, Bonn, Germany
5
Institute for Advanced Simulation, Institut für Kernphysik and Jülich Center for Hadron Physics, Forschungszentrum Jülich, 52425, Jülich, Germany
* e-mail: xiulei.ren@rub.de
Received:
24
January
2020
Accepted:
5
May
2020
Published online:
26
May
2020
We briefly review general concepts of renormalization in quantum field theory and discuss their application to solutions of integral equations with singular potentials in the few-nucleon sector of the low-energy effective field theory of QCD. We also describe a particular subtractive renormalization scheme and consider a specific application to a toy-model with a singular potential serving as its effective field theoretical leading-order approximation.
© The Author(s), 2020
