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Gluon and Ghost Propagators in Landau Gauge on the Lattice

2005/05/12 by A. Y. Lokhov, Lokhov, A. Y., C. Roiesnel +1
Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-lat

paper · pdf · doi:10.48550/arxiv.hep-lat/0505009

Presented by A.Y. Lokhov at the 40th Rencontres de Moriond ''QCD and Hadronic Interactions'', La Thuile, Aosta Valley, Italy, March 12th to 19th, 2005; 4 pages, 1 figure

arxiv created 2005/05/12 · openalex publication_date 2005/05/12 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the ultraviolet behaviour of the ghost and gluon propagators in quenched QCD using lattice simulations. Extrapolation of the lattice data towards the continuum allows to use perturbation theory to extract ΛQCD - the fundamental parameter of the pure gauge theory. The values obtained from the ghost and gluon propagators are coherent. The result for pure gauge SU(3) at three loops is Λ\ms≈ 320MeV. However this value does depend strongly upon the order of perturbation theory and upon the renormalisation description of the continuum propagators. Moreover, this value has been obtained without taking into account possible power corrections to the short-distance behaviour of correlation functions.

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