%0 Journal Article
%A Llanes Estrada, Felipe José
%A Bicudo, Pedro
%A Cotanch, Stephen
%A Maris, Pieter
%A Szczepaniak, Adam
%T Chirally symmetric quark description of low energy pi-pi scattering
%D 2002
%@ 0556-2821
%U https://hdl.handle.net/20.500.14352/58828
%X Weinberg’s theorem for π-π scattering, including the Adler zero at threshold in the chiral limit, is analyticall 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-π scattering amplitudes are calculated using the Dyson- Schwinger equations in the rainbow-ladder truncation, confirming the formal derivation.
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