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High Energy Physics - Lattice

arXiv:hep-lat/9807014 (hep-lat)
[Submitted on 7 Jul 1998 (v1), last revised 6 Nov 1998 (this version, v2)]

Title:The QCD Chiral Condensate from the Lattice

Authors:L. Giusti, F. Rapuano, M. Talevi, A. Vladikas
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Abstract: We determine the chiral condensate from simulations of quenched lattice QCD with Wilson fermions. Our measurements have been obtained with high statistics at three values of the gauge coupling, corresponding to UV cutoffs in the range 2 - 4 GeV. Several improvements have been made with respect to earlier lattice computations. The most important are the non-perturbative renormalization of the condensate, the use of the tree-level improved Clover action and the reduction of the systematic error due to uncertainties in the lattice calibration. Our result for the chiral condensate in the $\msbar$ scheme is
(\bar\psi \psi)^{\msbar}(mu = 2 GeV)
= - 0.0147(8)(16)(12) GeV^3
= - [245(4)(9)(7) MeV]^3
where the first error is statistical, the second is due to the non-perturbative renormalization and the third due to the lattice calibration.
Comments: 34 pages, latex, no figures. Some references and the value of the chiral condensate at 1 GeV added, no conclusions changed
Subjects: High Energy Physics - Lattice (hep-lat); High Energy Physics - Phenomenology (hep-ph)
Cite as: arXiv:hep-lat/9807014
  (or arXiv:hep-lat/9807014v2 for this version)
  https://doi.org/10.48550/arXiv.hep-lat/9807014
Journal reference: Nucl.Phys. B538 (1999) 249-277
Related DOI: https://doi.org/10.1016/S0550-3213%2898%2900659-2

Submission history

From: Leonardo Giusti [view email]
[v1] Tue, 7 Jul 1998 16:30:30 UTC (39 KB)
[v2] Fri, 6 Nov 1998 17:13:09 UTC (39 KB)
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