Concerning the quark condensate

2003/01/08 by K. Langfeld, Kurt Langfeld, R. Pullirsch +6 · 48 citations
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Connection (principal bundle) #Dirac operator #Lattice QCD #Mathematical physics #Operator product expansion #Particle physics #Particle physics theoretical and experimental studies #Physics #Propagator #Pseudoscalar #QCD vacuum #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum electrodynamics #Quark #hep-lat #hep-ph #nucl-th

paper · pdf · doi:10.1103/physrevc.67.065206

published in Physical Review C 67(6) (American Institute of Physics) · 7 pages, LaTeX2e, revtex4

arxiv created 2003/01/08 · openalex publication_date 2003/06/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

A continuum expression for the trace of the massive dressed-quark propagator is used to explicate a connection between the infrared limit of the QCD Dirac operator's spectrum and the quark condensate appearing in the operator product expansion. This connection is verified via comparison with a lattice-QCD simulation. The pseudoscalar vacuum polarization provides a good approximation to the condensate over a larger range of current-quark masses.

Citations

• Goldstone boson's valence-quark distribution
• Bethe-Salpeter equation and a nonperturbative quark-gluon vertex
• Small eigenvalues of the SU(3) Dirac operator on the lattice and in random matrix theory
• Dyson-Schwinger equations and their application to hadronic physics
• Towards a mapping of the marginal : readings of art songs by Nigerian, Ghanaian, Egyptian and South African composers
• Survey of heavy-meson observables

Cited by

• Dyson–Schwinger Equations: A Tool for Hadron Physics
• Analysis of a quenched lattice-QCD dressed-quark propagator
• Aspects and consequences of a dressed-quark-gluon vertex
• Electromagnetic properties of ground-state and excited-state pseudoscalar mesons
• ON THE COMPLEXION OF PSEUDOSCALAR MESONS
• Dyson-Schwinger equations: An instrument for hadron physics
• Landau gauge condensates from global color model