Chirally symmetric quark description of low energy π-πscattering

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dc.creatorBicudo, Pedro
dc.creatorCotanch, Stephen
dc.creatorLlanes-Estrada, Felipe
dc.creatorMaris, Pieter
dc.creatorRibeiro, Emilio
dc.creatorSzczepaniak, Adam
dc.date2001-12-02
dc.date.accessioned2026-07-07T11:47:30Z
dc.date.available2026-07-07T11:47:30Z
dc.descriptionWeinberg's theorem for π-πscattering, including the Adler zero at threshold in the chiral limit, is analytically proved for microscopic quark models that preserve chiral symmetry. Implementing Ward-Takahashi identities, the isospin 0 and 2 scattering lengths are derived in exact agreement with Weinberg's low energy results. Our proof applies to alternative quark formulations including the Hamiltonian and Euclidean space Dyson-Schwinger approaches. Finally, the threshold π-πscattering amplitudes are calculated using the Dyson-Schwinger equations in the rainbow-ladder truncation, confirming the formal derivation.
dc.description10 pages, 7 figures, Revtex 3
dc.identifierhttps://arxiv.org/abs/hep-ph/0112015
dc.identifierhttp://arxiv.org/abs/hep-ph/0112015
dc.identifierPhys.Rev.D65:076008,2002
dc.identifierdoi:10.1103/PhysRevD.65.076008
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/202593
dc.subjectHigh Energy Physics - Phenomenology
dc.titleChirally symmetric quark description of low energy π-πscattering
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