Extrapolation of lattice QCD results beyond the power-counting regime

2005/01/28 by Derek B. Leinweber, D. B. Leinweber, A. W. Thomas +1 · 4 citations
Mathematics · Physics and Astronomy · #Chiral perturbation theory #Computer science #Effective field theory #Extrapolation #High-Energy Particle Collisions Research #Lattice (music) #Lattice QCD #Lattice field theory #Mathematical analysis #Mathematical physics #Mathematics #Particle physics #Particle physics theoretical and experimental studies #Physics #Pion #Propagator #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum electrodynamics #Regularization (linguistics) #Resummation #Statistical physics #Theoretical physics #hep-lat

paper · pdf · doi:10.1016/j.nuclphysa.2005.03.024

published as Nucl.Phys.A755:59-70,2005 · 12 pages, 5 figures, plenary talk at BARYONS 2004, Paris, Oct. 25-29

arxiv created 2005/01/28 · openalex publication_date 2005/05/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Resummation of the chiral expansion is necessary to make accurate contact with current lattice simulation results of full QCD. Resummation techniques including relativistic formulations of chiral effective field theory and finite-range regularization (FRR) techniques are reviewed, with an emphasis on using lattice simulation results to constrain the parameters of the chiral expansion. We illustrate how the chiral extrapolation problem has been solved and use FRR techniques to identify the power-counting regime (PCR) of chiral perturbation theory. To fourth-order in the expansion at the 1% tolerance level, we find 0 ≤ m_pi ≤ 0.18 GeV for the PCR, extending only a small distance beyond the physical pion mass.

Citations

• Decuplet reexamined in chiral perturbation theory
• Leading quenching effects in the proton magnetic moment
• Chiral analysis of quenched baryon masses
• Physical Nucleon Properties from Lattice QCD
• Incorporating chiral symmetry and heavy quark theory in extrapolations of octet baryon charge radii
• Convergence of chiral effective field theory
• Incorporating chiral symmetry in extrapolations of octet baryon magnetic moments

Cited by

• Unified chiral analysis of the vector meson spectrum from lattice QCD
• On the convergence of the chiral expansion for the baryon ground-state masses
• First moments of nucleon generalized parton distributions
• The spin of the proton