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arXiv · hep-ph/9909292

N_f Dependence of the Quark Condensate from a Chiral Sum Rule

B. Moussallam
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Abstract

How fast does the quark condensate in QCD-like theories vary as a function of $N_f$ is inferred from real QCD using chiral perturbation theory at order one-loop. A sum rule is derived for the single relevant chiral coupling-constant, $L_6$. A model independent lower bound is obtained. The spectral function satisfies a Weinberg-type superconvergence relation. It is discussed how this, together with chiral constraints allows a solid evaluation of $L_6$, based on experimental $ππ-K\bar K$ S-wave T-matrix input. The resulting value of $L_6$ is compatible with a strong $N_f$ dependence possibly suggestive of the proximity of a chiral phase transition

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B. Moussallam. 1999-10-28. N_f Dependence of the Quark Condensate from a Chiral Sum Rule. https://doi.org/10.1007/s100520050738

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