Pseudoscalar vertex, Goldstone boson and quark masses on the lattice

1998/10/31 by J. R. Cudell, A. Le Yaouanc, C. Pittori · 3 citations
Mathematics · Physics and Astronomy · #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #Spectral Theory in Mathematical Physics #hep-lat #hep-ph

paper · pdf · doi:10.1016/s0370-2693(99)00339-1

published as Phys.Lett. B454 (1999) 105-114 · 13 pages, 6 eps figures, LaTeX. Minor modifications to the text, and corrections to Fig. 6

openalex publication_date 1999/05/01 · arxiv created 1999/06/24 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We analyse the Structure Function collaboration data on the quark pseudoscalar vertex and extract the Goldstone boson pole contribution, in 1/p2. The strength of the pole is found to be quite large at presently accessible scales. We draw the important consequences of this finding for the various definitions of quark masses, and point out potential problems with the operator product expansion.

Citations

• Dynamical Model of Elementary Particles Based on an Analogy with Superconductivity. I
• A lattice study of the quark propagator and vertex function
• Scaling of nonperturbativelyO(a)<mml:mn/>-improved Wilson fermions: Hadron spectrum, quark masses, and decay constants

Cited by

• Renormalization Constants of Quark Operators for the Non-Perturbatively Improved Wilson Action
• Lattice determination of light quark masses
• Non-perturbative renormalization in coordinate space for Nf=2 maximally twisted mass fermions with tree-level Symanzik improved gauge action