Quark mass dependence of pseudoscalar masses and decay constants on a lattice

2004/03/12 by F. Farchioni, I. Montvay, E. Scholz +1 · 1 citation
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-lat

paper · pdf · doi:10.1140/epjc/s2004-01984-0

published as Eur.Phys.J. C37 (2004) 197-204 · 17 pages, 5 figures

arxiv created 2004/03/12 · openalex publication_date 2004/08/23 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Our previous calculations of the sea- and valence-quark mass dependence of the pseudoscalar meson masses and decay constants is repeated on a 16³x32 lattice which allows for a better determination of the quantities in question. The conclusions are similar as before on the 16⁴ lattice [1]. The two light dynamical quark flavours we simulate have masses in the range 1/4 m_s < m_u,d < 2/3 m_s. The sea quark mass dependence of f_pi and m_pi²/m_q is well described by the next-to-leading order (NLO) Chiral Perturbation Theory (ChPT) formulas and clearly shows the presence of chiral logarithms. The valence quark mass dependence requires the presence of NNLO contributions in Partially Quenched ChPT (PQChPT) -- in addition to the NLO terms. The O(a) lattice artifacts in these quantities turn out to be small.

Citations

• Effective chiral Lagrangians and lattice QCD
• Chiral perturbation theory to one loop
• Non-lattice determinations of the light quark masses
• Phenomenological Lagrangians

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• An asymptotic formula for the pion decay constant in a large volume