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arXiv · 1005.4370

Non-factorization of four-quark condensates at low energies within Chiral Perturbation Theory

A. Gomez Nicola·J. R. Pelaez·J. Ruiz de Elvira
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Abstract

Four-quark correlators and the factorization hypothesis are analyzed in the meson sector within Chiral Perturbation Theory. Factorization of the four-quark condensate holds to leading and next to leading order. However at next to next to leading order, a term with a nontrivial space-time dependence in the four-quark correlator yields a divergent four-quark condensate, whereas the two-quark condensate and the scalar susceptibility are finite. Such a non-factorization term vanishes only in the chiral limit. We also comment on how factorization still holds in the large $N_c$ limit, provided such a limit is taken before renormalization.

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A. Gomez Nicola, J. R. Pelaez, J. Ruiz de Elvira. 2010-09-21. Non-factorization of four-quark condensates at low energies within Chiral Perturbation Theory. https://doi.org/10.1103/physrevd.82.074012

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