Quark Schwinger-Dyson Evaluation of the l1, l2 Coefficients in the Chiral Lagrangian

Details Quark Schwinger-Dyson Evaluation of the l1, l2 Coefficients in the Chiral Lagrangian Quark Schwinger-Dyson Evaluation of the l1, l2 Coefficients in the Chiral Lagrangian

2003-06-17

arxiv.org/abs/hep-ph/0306146v1

Phys.Rev. D68 (2003) 094014

Physics

High Energy Physics

High Energy Physics - Phenomenology

15 pages

Scientific paper

10.1103/PhysRevD.68.094014

Using a systematic expansion of the quark-antiquark Bethe-Salpeter wavefunctions 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 l1, l2 to the underlying quark-antiquark wavefunctions 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.

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