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1 Introduction

In the framework of effective fermion models à la Nambu-Jona Lasinio for low energy hadronic interactions, the Quark-Resonance model [1] can be thought of as a generalized ENJL [2] (see also chapter 1) model. While the ENJL model only includes the lowest dimensional non-renormalizable four fermion interaction terms, the Quark-Resonance (QR) Lagrangian results from the bosonization of the infinite tower of chiral invariant multiquark effective interactions ordered by an expansion in inverse powers of the ultraviolet cutoff GeV). The addition of higher dimensional multifermion interactions with increasing powers of derivatives takes into account in a perturbative way the nonlocality of the effective low energy action.

In section 2. the quark-resonance Lagrangian is constructed up to including terms, which are next-to-leading in the inverse cutoff expansion and leading in the expansion. All meson SU(3) flavour octet quantum numbers are included: the pseudoscalar mesons , the vector, axial, scalar and pseudoscalar resonances. In section 3. two parameters of the leading vector resonance chiral effective Lagrangian are derived, including corrections to the leading logarithmic ENJL contribution: the coupling of the vector resonance to the external vector current and the vector mass. They enter the calculation of the vector two point function, which is studied in section 4 in the chiral limit; the numerical relevance of in the intermediate region is shown through the comparison with experimental data.



Carlos E.Piedrafita