Vector correlator and scale determination in lattice QCD

2013/11/29 by Anthony Francis, Francis, Anthony, Georg von Hippel +5
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Phenomenology (hep-ph) #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-lat #hep-ph

paper · pdf · doi:10.48550/arxiv.1312.0035

7 pages, 3 figures with 6 png files

arxiv created 2013/11/29 · openalex publication_date 2013/11/29 · arxiv updated 2013/12/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We implement a proposal made in [arXiv:1107.4388] to determine the lattice spacing by matching the lattice vector correlator at a reference distance scale with the same correlator obtained by a dispersion relation based on the R-ratio determined experimentally. We work with the isovector current, requiring a separation of the isovector hadronic final states on the phenomenological side. We also discuss the finite-size effect on the correlator, which must be controlled in order for the method to be applicable.

Related

• Using the Landau gauge gluon propagator to set the lattice physical scales and understanding the finite size effects
• A simple model for a scalar two-point correlator in the presence of a resonance
• Determining the scale in Lattice QCD
• Scale setting in lattice QCD
• Gauge invariant Field Strength Correlators in QCD