2003/10/27 by Thomas DeGrand
Mathematics · Physics and Astronomy · #Dirac operator #Eigenvalues and eigenvectors #Euclidean geometry #Geometry #Hadron #High-Energy Particle Collisions Research #Mathematical physics #Mathematics #Meson #Parity (physics) #Particle physics #Particle physics theoretical and experimental studies #Physics #Pion #Propagator #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum electrodynamics #Quantum mechanics #Quark #hep-ph
paper · pdf · doi:10.1103/physrevd.69.074024
published as Phys.Rev. D69 (2004) 074024 · 11 pages, Revtex, 7 postscript figures
arxiv created 2003/10/27 · openalex publication_date 2004/04/27 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Euclidean space hadronic correlators are computed in quenched QCD at a small quark mass using truncations of quark propagators which include or exclude low eigenvalue eigenmodes of the Dirac operator. High modes provide the dominant contribution to parity averaged correlators, especially at short distances. Differences of correlators of opposite parity receive most of their contributions from low modes and are much smaller in size than parity averages at short distances. The pion propagator in any correlator to which it couples receives a large contribution from low modes, while the tensor meson correlator receives a tiny contribution from low eigenmodes.