Light quark masses, chiral condensate and quark–gluon condensate in quenched lattice QCD with exact chiral symmetry

2003/05/31 by Ting-Wai Chiu, Tung-Han Hsieh, Tung‐Han Hsieh · 67 citations
Physics and Astronomy · #Chiral perturbation theory #Chiral symmetry breaking #High-Energy Particle Collisions Research #Lattice QCD #Lattice constant #Nuclear physics #Particle physics #Particle physics theoretical and experimental studies #Physics #Pion #Pion decay constant #Pseudoscalar #Pseudoscalar meson #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum mechanics #Quark #hep-lat #hep-ph #hep-th #nucl-th

paper · pdf · doi:10.1016/j.nuclphysb.2003.09.035

published in Nuclear Physics B 673(1-2), 217-237 (Elsevier BV) · 24 pages, 9 figures, the version to appear in Nucl.Phys.B

arxiv created 2003/09/23 · openalex publication_date 2003/10/15 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We determine several quantities in quenched lattice QCD with exact chiral symmetry. For 100 gauge configurations generated with Wilson gauge action at β= 6.0 on the 16³ × 32 lattice, we compute quenched quark propagators for 13 bare quark masses. The pion decay constant is extracted from the pion propagator, and from which the inverse lattice spacing is determined to be a^-1 = 1.979(6) GeV. The parameters ( C, δ, B ) in the pseudoscalar meson mass formula in quenched chiral perturbation theory (qχPT) to one-loop order are determined. Further, we measure the index (topological) susceptibility of these 100 gauge configurations, χ_t = (175 ± 6 MeV)⁴ , from which we obtain an estimate of the mass of η' in qχPT, and the coefficient of quenched chiral logarithm, both in good agreement with the values determined from the pion masses, as well as with the theoretical estimates. With our values of C, δ, B , the experimental inputs of pion and kaon masses, and the pion decay constant, we determine the light quark masses: m_u,d = 4.1 ± 0.3 MeV, and m_s = 92 ± 9 MeV, in the MS scheme at scale μ= 2 GeV. Also, we determine the quark condensate < q q > = -(250 ± 3 MeV)³ , and the quark-gluon condensate g < q σ_μν F_μν q > = -(434 ± 4 MeV)⁵ , in the MS scheme at scale 2 GeV.

Citations

• A method for simulating chiral fermions on the lattice
• Chiral fermions on the lattice
• One-loop renormalization of fermionic currents with the overlap-Dirac operator
• MINIMIZING STORAGE IN IMPLEMENTATIONS OF THE OVERLAP LATTICE-DIRAC OPERATOR
• Light quark masses in quenched QCD with exact chiral symmetry
• Chiral perturbation theory for the quenched approximation of QCD
• Infinitely many regulator fields for chiral fermions
• Axial symmetries in lattice QCD with Kaplan fermions
• Λ-parameter of lattice QCD with the overlap-Dirac operator
• Witten-Veneziano relation, quenched QCD, and overlap fermions
• Quark-gluon mixed condensateg〈q¯σμνGμνq〉inSU(3)cquenched lattice QCD
• Chiral fermions from lattice boundaries