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Flavour-symmetry breaking of the quark condensate and chiral corrections to the Gell-Mann-Oakes-Renner relation

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arxiv hep-ph/0201174 v2 pith:IUFQSKVU submitted 2002-01-18 hep-ph hep-latnucl-th

classification hep-phhep-latnucl-th
keywords chiralcondensatequarkrelationbreakingcorrectionsgell-mann-oakes-rennerlow-energy
verification ladder T0 review T1 audit T2 compute T3 formal
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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 unphysical 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.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Topped baryons from QCD sum rules

    hep-ph 2025-07 conditional novelty 6.0 of 10

    QCD sum rules in HQET predict ground-state singly topped baryon masses near 174 GeV, some 1.1-1.5 GeV above the top quark pole mass.

  2. Radiative decays of $P$-wave charmed baryons in the $SU(3)$ flavor $\bf6_F$ representation

    hep-ph 2025-06 conditional novelty 6.0 of 10

    The authors predict radiative decay widths for all P-wave charmed baryons in the 6F representation, and propose Omega_c gamma channels as the best route to identify the excited Omega_c states seen at LHCb.

  3. Chiral Properties of $(2\!+\!1)$-Flavor QCD in Magnetic Fields at Zero Temperature

    hep-lat 2026-01 unverdicted novelty 5.0 of 10

    Continuum-extrapolated lattice simulations show monotonic magnetic catalysis in chiral condensates, non-monotonic charged-meson mass response, and valence-quark dominance at zero temperature up to eB ≈ 1.2 GeV².

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