The 't Hooft determinant resolution of the eta' puzzle

dc.creatorOsipov, Alexander A.
dc.creatorBlin, Alex H.
dc.creatorHiller, Brigitte
dc.date2004-10-11
dc.date.accessioned2026-07-07T03:53:39Z
dc.date.available2026-07-07T03:53:39Z
dc.descriptionThe six-quark instanton induced 't Hooft interaction, which breaks the unwanted U_A(1) symmetry of QCD, is also a sourse of semi-classical corrections to the low energy effective action. It is argued that there emerges a dimensionless expansion parameter that introduces a new mass scale, Lambda_E^2=6 GeV^2, in the 0^-, 0^+ channels. This scale plays a similar role as the large critical mass M^2_crit > 4.2-6.6 GeV^2 discovered in the framework of QCD sum rules in the 0^-, 0^+ gluonic channels. In particular, it allows to resolve the eta' puzzle. To extract Lambda_E we calculate the masses of the lightest pseudoscalar meson nonet by using the Nambu --Jona-Lasinio (NJL) type U_L(3)X U_R(3) chiral symmetric Lagrangian together with the 't Hooft determinant. The mechanism which leads to the large value of Lambda_E is scrutinized.
dc.description12 pages, LaTeX
dc.identifierhttps://arxiv.org/abs/hep-ph/0410148
dc.identifierhttp://arxiv.org/abs/hep-ph/0410148
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/43922
dc.subjectHigh Energy Physics - Phenomenology
dc.titleThe 't Hooft determinant resolution of the eta' puzzle
dc.typetext

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