Chirally symmetric quark description of low energy π-πscattering

Details Chirally symmetric quark description of low energy π-πscattering Chirally symmetric quark description of low energy π-πscattering

2001-12-02

arxiv.org/abs/hep-ph/0112015v1

Phys.Rev.D65:076008,2002

Physics

High Energy Physics

High Energy Physics - Phenomenology

10 pages, 7 figures, Revtex 3

Scientific paper

10.1103/PhysRevD.65.076008

Weinberg's theorem for \pi-\pi scattering, 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 \pi-\pi scattering amplitudes are calculated using the Dyson-Schwinger equations in the rainbow-ladder truncation, confirming the formal derivation.

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