2006/07/13 by Maarten Golterman, Santiago Peris, Santi Peris · 3 citations
Physics and Astronomy · #Chiral perturbation theory #Chiral symmetry breaking #Hadron #High-Energy Particle Collisions Research #Particle physics #Particle physics theoretical and experimental studies #Perturbation (astronomy) #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum electrodynamics #Quantum mechanics #Resonance (particle physics) #Theoretical physics #hep-lat #hep-ph #nucl-th
paper · pdf · doi:10.1103/physrevd.74.096002
published as Phys.Rev.D74:096002,2006 · 15 pages, one figure
arxiv created 2006/07/13 · openalex publication_date 2006/11/03 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Although there are phenomenological indications that the low-energy constants in the chiral Lagrangian may be understood in terms of a finite number of hadronic resonances, it remains unclear how this follows from QCD. One of the arguments usually given is that low-energy constants are associated with chiral symmetry breaking, while QCD perturbation theory suggests that at high energy chiral symmetry is unbroken, so that only low-lying resonances contribute to the low-energy constants. We revisit this argument in the limit of large Nc, discussing its validity, in particular, for the low-energy constant L8, and conclude that QCD may be more subtle than what this argument suggests. We illustrate our considerations in a simple Regge-like model which also applies at finite Nc.