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Using a systematic expansion of the quark-antiquark Bethe Salpeter wave functions in the relativistic quark model and working to O(P-4) in the chiral limit, we are able to derive theoretical expressions relating the coefficients of the chiral Lagrangian l(1),l(2) to the underlying quark-antiquark wave functions and interaction kernels. This is accomplished by using a novel technique based on a Ward identity for the quark-antiquark ladder kernel which greatly simplifies the required effort. Numerical evaluations are performed in two simple specific models

physical review. d. particles, fields, gravitation, and cosmology/physical review. d. particles and fields

Quark Schwinger-Dyson evaluation of the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi>l</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mo>,</mml:mo><mml:mi>l</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>coefficients in the chiral Lagrangian

Quark Schwinger-Dyson evaluation of thel1,l2coefficients in the chiral Lagrangian