Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2010-05-24
Phys.Rev.D82:074012,2010
Physics
High Energy Physics
High Energy Physics - Phenomenology
12 pages, one figure, version accepted in Phys. Rev. D. New appendix with technical details and further comments and reference
Scientific paper
10.1103/PhysRevD.82.074012
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.
de Elvira Jacobo Ruiz
Nicola Angel Gomez
Pelaez Jose Ramon
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