Spectral sum from Euclidean lattice correlators and determination of renormalization constants

2021/11/30 by Tsutomu Ishikawa, S. Hashimoto, Ishikawa, Tsutomu +3
Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Phenomenology (hep-ph) #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions

paper · pdf · doi:10.48550/arxiv.2111.15252

openalex publication_date 2021/11/30 · openalex created_date 2022/05/05 · openalex updated_date 2026/07/28

Abstract

We propose a new method to renormalize lattice operators. The method is based on the technique to compute the spectral sum appearing in the Shifman-Vainshtein-Zakharov QCD sum rule from lattice correlators. The application of this technique to the light quark system is useful for operator renormalization as well as for the test of perturbative QCD and OPE. We determine the renormalization constant of the vector current and discuss extensions to other current operators.

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