Anomalous dimensions determine the power counting -- Wilsonian RG analysis of nuclear EFT --

dc.creatorHarada, Koji
dc.creatorKubo, Hirofumi
dc.date2006-05-02
dc.date2006-10-24
dc.date.accessioned2026-07-07T11:07:30Z
dc.date.available2026-07-07T11:07:30Z
dc.descriptionThe Legendre flow equation, a version of exact Wilsonian renormalization group (WRG) equation, is employed to consider the power counting issues in Nuclear Effective Field Theory. A WRG approach is an ideal framework because it is nonperturbative and does not require any prescribed power counting rule. The power counting is determined systematically from the scaling dimensions of the operators at the nontrivial fixed point. The phase structure is emphasized and the inverse of the scattering length, which is identified as a relevant coupling, is shown to play a role of the order parameter. The relations to the work done by Birse, McGovern, and Richardson and to the Kaplan-Savage-Wise scheme are explained.
dc.descriptionexplanation about the Legendre flow equation improved, an appendix added, figures replaced, typos corrected 35pages, 3 figures
dc.identifierhttps://arxiv.org/abs/nucl-th/0605004
dc.identifierhttp://arxiv.org/abs/nucl-th/0605004
dc.identifierNucl.Phys.B758:304-329,2006
dc.identifierdoi:10.1016/j.nuclphysb.2006.10.001
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/189863
dc.subjectNuclear Theory
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectHigh Energy Physics - Theory
dc.titleAnomalous dimensions determine the power counting -- Wilsonian RG analysis of nuclear EFT --
dc.typetext

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