Chirally symmetric quark description of low energy π-πscattering

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Weinberg'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.
10 pages, 7 figures, Revtex 3

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High Energy Physics - Phenomenology

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http://salesiana.dossiersoluciones.com/handle/123456789/202593

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/hep-ph/0112015
 http://arxiv.org/abs/hep-ph/0112015
 Phys.Rev.D65:076008,2002
 doi:10.1103/PhysRevD.65.076008

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arXiv