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

2003/06/17 by Felipe J. Llanes-Estrada, Felipe J. Llanes–Estrada, Pedro Bicudo +1 · 2 citations
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph

paper · pdf · doi:10.1103/physrevd.68.094014

published as Phys.Rev. D68 (2003) 094014 · 15 pages

arxiv created 2003/06/17 · openalex publication_date 2003/11/19 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

Using a systematic expansion of the quark-antiquark Bethe-Salpeter wave functions in the relativistic quark model and working to O(P⁴) 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 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.

Citations

• Chiral perturbation theory to one loop
• Chiral perturbation theory: Expansions in the mass of the strange quark
• Evaluation of the derivative quartic terms of the meson chiral Lagrangian from forward dispersion relations

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