%0 Journal Article
%A Gómez Nicola, Ángel
%A Peláez Sagredo, José Ramón
%A Ruiz De Elvira Carrascal, Jacobo
%T Nonfactorization of four-quark condensates at low energies within chiral perturbation theory
%D 2010
%@ 1550-7998
%U https://hdl.handle.net/20.500.14352/44564
%X Four-quark correlators and the factorization hypothesis are analyzed in the meson sector within chiral perturbation theory. We define the four-quark condensate as lim(x -> 0) < T((q) over barq)(x)((q) over barq)(0)>, which is equivalent to other definitions commonly used in the literature. 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 nonfactorization 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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