Flavour-symmetry breaking of the quark condensate and chiral corrections to the Gell-Mann-Oakes-Renner relation
By M. Jamin. 2002
164 citations recorded by the source corpus.
Abstract The relation between the chiral quark condensate in QCD sum rules and chiral perturbation theory is clarified with the help of a low-energy theorem for the scalar and pseudoscalar correlation functions. It is found that the quark condensate should be identified with the non-normal-ordered vacuum expectation value of quark–antiquark fields. Utilising results on flavour SU(3) breaking of the quark condensate from QCD sum rules, the low-energy constant H 2 r in the chiral Lagrangian, as well as next-to-leading order corrections to the Gell-Mann–Oakes–Renner relation are estimated.
Subfields: Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/5edf4c2f1b1ed3366645a6ee4a2e8543d4090795
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In Nuclear and High Energy Physics
Citations in the corpus
- alpha_s and the tau hadronic width: fixed-order, contour-improved and higher-order perturbation theory (2008, background): “For δ (4) 〈q̄q〉,V +A, the required quark condensate can be calculated from the GMOR relation [53, 54], with the result 〈q̄q〉(Mτ ) = − (272±15MeV)3.”
- Is there still any Tc mystery in lattice QCD? Results with physical masses in the continuum limit III (2010, unknown): “〈ψ̄ψ〉s,0 is the zero-temperature value of the strange condensate, which is related to 〈ψ̄ψ〉u,0 by QCD sum rules [40]: 〈ψ̄ψ〉s,0 = 0.”