Lattice calculation of low energy constants with Ginsparg-Wilson type fermions

2005/09/30 by Christof Gattringer, Philipp Huber, C. B. Lang · 26 citations
Physics and Astronomy · #Diffraction #Fermion #Gauge theory #Lattice (music) #Lattice constant #Lattice field theory #Nuclear physics research studies #Particle physics #Particle physics theoretical and experimental studies #Physics #Pseudoscalar #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Quark #hep-lat

paper · pdf · doi:10.1103/physrevd.72.094510

published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 72(9) (American Physical Society) · Final version (minor changes), RevTeX4, 16 pages, 15 figures, 9 tables

arxiv created 2005/11/08 · openalex publication_date 2005/11/30 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We present a quenched lattice calculation of low energy constants using the chirally improved Dirac operator. Several lattice sizes at different lattice spacings are studied. We systematically compare various methods for computing these quantities, using pseudoscalar and axial vector correlators. We find consistent results for the different approaches, giving rise to f_\ensuremathπ=96(2)(4)MeV, f_K=106(1)(8)MeV, f_K/f_\ensuremathπ=1.11(1)(2), \ensuremathΣ=\ensuremath-(286(4)(31)MeV)³, the average light quark mass m=4.1(2.4)MeV, and m_s=101(8)MeV.

Citations

• New method of determiningFπon the lattice
• πandρstructure functions from lattice QCD
• A method for simulating chiral fermions on the lattice
• Effective chiral Lagrangians and lattice QCD
• Chiral perturbation theory to one loop
• Non-perturbative renormalisation of composite operators in lattice QCD
• Chiral perturbation theory for the quenched approximation of QCD
• Quenched chiral log and light quark mass from overlap fermions
• Infinitely many regulator fields for chiral fermions
• Axial symmetries in lattice QCD with Kaplan fermions
• On the renormalized scalar density in quenched QCD
• Big Bang Nucleosynthesis (in "The Review of Particle Properties" 2004)
• Phenomenological Lagrangians

Cited by

• Lattice calculation of the pion form factor with Ginsparg-Wilson-type fermions