Scalars and Pseudoscalars in Non-linear Chiral Dynamics Based on QCD
The 1/N expansion of quantum chromodynamics (QCD) has recently been advocated as a guide to the construction of the effective, hadronic chiral-Lagrangian, including the consequences of the U (1) axial anomaly [1– 4]. We extend the standard non-linear chiral Lagrangian approach and include non-linearly transforming scalar fields In addition to the usuπal pseudoscalars. We thereby obtain a low-energy effective Lagrangian which incorporates both the usual PCAC and U (1) anomaly constraints and the new (for non-linear lagrangians) SU(3) breaking effects due to the scalar field vacuum expectation values. FK/Fπ ≠ 1 follows naturally in our approach, for example.
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