Reduction of Vector and Axial--Vector Fields in a Bosonized Nambu--Jona--Lasinio Model

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We derive the effective action for pseudoscalar mesons by integrating out vector and axial--vector collective fields in the generating functional of the bosonized NJL--model. The corresponding modifications of the nonlinear effective Lagrangian and the bosonized currents, arising at $O(p^4)$, are discussed.
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