Pseudoscalar Vertex, Goldstone Boson and Quark Masses on the Lattice
arXiv:hep-lat/9810058 · doi:10.1016/S0370-2693(99)00339-1
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.
arXiv comment13 pages, 6 eps figures, LaTeX. Minor modifications to the text, and corrections to Fig. 6
References in corpus (10)
- A General Method for Non-Perturbative Renormalization of Lattice Operators
- Non-perturbative determination of the axial current normalization constant in O(a) improved lattice QCD
- Running Coupling and the Lambda-Parameter from SU(3) Lattice Simulations
- Quark Mass Renormalization in the $\MSbar$ and RI schemes up to the NNLO order
- Scaling of Non-Perturbatively O(a) Improved Wilson Fermions: Hadron Spectrum, Quark Masses and Decay Constants
- Quark Masses from Lattice QCD at the Next-to-Leading Order
- Non-perturbative improvement and renormalization of lattice operators
- Lattice Renormalization of Quark Operators
- Does noncommutative geometry encompass lattice gauge theory?
- A lattice study of the quark propagator and vertex function
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