RT Journal Article
T1 Nonfactorization of four-quark condensates at low energies within chiral perturbation theory
A1 Gómez Nicola, Ángel
A1 Peláez Sagredo, José Ramón
A1 Ruiz De Elvira Carrascal, Jacobo
AB 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.
PB Amer Physical Soc
SN 1550-7998
YR 2010
FD 2010-10-14
LK https://hdl.handle.net/20.500.14352/44564
UL https://hdl.handle.net/20.500.14352/44564
LA eng
NO © 2010 The American Physical Society.This work was partially supported by Spanish Ministerio de Educacion y Ciencia Research Contracts No. FPA2008-00592, No. FIS2006-03438, and No. FIS2008-01323, and by U.Complutense/Banco Santander Grant No. UCM-BSCH GR58/08 910309. We acknowledge the support of the European Community-Research Infrastructure Integrating Activity "Study of Strongly Interacting Matter" (acronym HadronPhysics2, Grant Agreement No. 227431) under the Seventh Framework Programme of the EU.
NO Unión Europea. FP7
NO Spanish Ministerio de Educacion y Ciencia
NO U.Complutense/Banco Santander
DS Docta Complutense
RD 5 abr 2025