How to renormalize integral equations with singular potentials in effective field theory

2020/01/31 by E. Epelbaum, A. M. Gasparyan, J. Gegelia +3 · 30 citations
Mathematics · Physics and Astronomy · #Applied mathematics #Black Holes and Theoretical Physics #Effective field theory #Field (mathematics) #Field theory (psychology) #Functional renormalization group #Mathematical physics #Mathematics #Particle physics theoretical and experimental studies #Physics #Pure mathematics #Quantum Chromodynamics and Particle Interactions #Quantum field theory #Quantum mechanics #Renormalization #hep-ph #hep-th #nucl-th

paper · pdf · doi:10.1140/epja/s10050-020-00162-4

published in The European Physical Journal A 56(5) (Springer Science+Business Media) · 9 pages, 2 figures, extends the discussion, matches published version in EPJA

openalex publication_date 2020/05/01 · arxiv created 2020/05/26 · arxiv updated 2020/05/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Abstract 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.

Citations

• Nucleon-nucleon scattering within a multiple subtractive renormalization approach
• Anomalous dimensions determine the power counting: Wilsonian RG analysis of nuclear EFT
• Nuclear forces from chiral Lagrangians using the method of unitary transformation (I): Formalism
• Few-Nucleon Forces and Systems in Chiral Effective Field Theory
• Effectiveness of effective field theory in peripheral nucleon-nucleon scattering
• Subtractive renormalization of theNNscattering amplitude at leading order in chiral effective theory
• Three- and Four-Nucleon Systems from Chiral Effective Field Theory
• Bakamjian-Thomas mass operator for few-nucleon systems from chiral dynamics
• Perturbative renormalizability of chiral two-pion exchange in nucleon-nucleon scattering
• Modern theory of nuclear forces
• Chiral effective field theory and nuclear forces
• EFFECTIVE FIELD THEORY APPROACH TO THE NUCLEON–NUCLEON INTERACTION REVISITED
• High-precision nuclear forces from chiral EFT: State-of-the-art, challenges and outlook

Cited by

• Resonance parameters of the vector charmoniumlike state G(3900)
• Criteria of Renormalizability in Effective Field Theories
• Efficient emulator for solving three-nucleon continuum Faddeev equations with chiral three-nucleon force comprising any number of contact terms