The renormalization group and nuclear forces

2010/12/22 by Michael C. Birse · 1 citation
Earth and Planetary Sciences · Physics and Astronomy · #Functional renormalization group #Group (periodic table) #High-pressure geophysics and materials #Mathematical physics #Nuclear force #Nuclear physics #Nuclear physics research studies #Nucleon #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Renormalization #Renormalization group #Statistical physics #Theoretical physics #cond-mat.quant-gas #hep-ph #nucl-th

paper · pdf · doi:10.1098/rsta.2010.0381

17 pages, 5 figures (review submitted to Phil. Trans. Roy. Soc. A)

arxiv created 2010/12/22 · openalex publication_date 2011/06/06 · arxiv updated 2015/05/20 · openalex created_date 2020/11/23 · openalex updated_date 2026/08/05

Abstract

I give an outline of recent applications of the renormalization group to effective theories of nuclear forces, focusing on the use of a Wilsonian approach to analyse systems of two or three non-relativistic particles.

Citations

• Nucleon-nucleon scattering within a multiple subtractive renormalization approach
• Universal properties of the four-body system with large scattering length
• Towards a model-independent low momentum nucleon–nucleon interaction
• Few-Nucleon Forces and Systems in Chiral Effective Field Theory
• Renormalization group analysis of boundary conditions in potential scattering
• Low-energy universality and the new charmonium resonance at 3870 MeV
• Subtractive renormalization of theNNscattering amplitude at leading order in chiral effective theory
• A renormalized equation for the three-body system with short-range interactions
• Exact evolution equation for the effective potential
• Renormalization group approach to two-body scattering in the presence of long-range forces
• Proton–proton scattering lengths from effective field theory
• Scheming in dimensional regularization
• Functional renormalization for trion formation in ultracold fermion gases
• Modern theory of nuclear forces
• Pion interactions in theX(3872)
• How to Renormalize the Schrodinger Equation
• Phenomenological Lagrangians
• Renormalization ofNNscattering with one pion exchange and energy dependent boundary conditions

Cited by

• Wilsonian renormalization group versus subtractive renormalization in effective field theories for nucleon–nucleon scattering
• Nucleon-nucleon interaction: A typical/concise review