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arxiv hep-lat/9807014 v2 pith:L3PSYI5F submitted 1998-07-07 hep-lat hep-ph

The QCD Chiral Condensate from the Lattice

classification hep-lat hep-ph
keywords latticecondensatechiralbeencalibrationerrormsbarnon-perturbative
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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.

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