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Estimate of the chiral condensate in quenched lattice QCD

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arxiv hep-ph/0403044 v2 pith:S55O3B3C submitted 2004-03-04 hep-ph hep-lat

Damir Becirevic , Vittorio Lubicz This is my paper · ORCID
classification hep-phhep-lat
keywords condensateformulagmorlatticepseudoscalarqbarquenchedvalue
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We determine the value of the quark condensate from quenched QCD simulations on the lattice in two ways: (i) by using the GMOR formula; (ii) by comparing the OPE prediction for the Goldstone pole contribution to the pseudoscalar vertex, at moderately large momenta. In the MSbar scheme at mu=2 GeV, from the GMOR formula we obtain <q qbar> = -(273 +/- 19 MeV)^3. We show that the value extracted from the pseudoscalar vertex, <q qbar> = - (312 +/- 24 MeV)^3, is consistent with the result obtained from the first (standard) method.

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    hep-ph 2024-12 conditional novelty 5.0 of 10

    The pion's measured mass, decay constant, and charge radius fix two longitudinal-potential models that then reproduce its measured electromagnetic and transition form factors at low Q^2.

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