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We present a generalized formalism of the hidden local symmetry in which any nonlinear sigma model based on the manifold C/H is gauge equivalent to a model possessing GglobalX Goeal symmetry, which is a natural extension of the well-known gauge equivalence between a C/H nonlinear sigma model and a CglObal X H'oea' "linear" model. As an application of this formalism, we reexamine a possibility that the Al mesons as well as the p mesons and their U(3) partners are dynamical gauge bosons of the hidden local symmetry, [U(3)L x U(3)RJ.oeal, in the U(3h x U(3)R/U(3)v nonlinear sigma model.

En utilisant le formalisme d'operateur canonique, on etudie les anomalies chirales U(1) dans des theories de champ modeles a (1+1) dimensions

An effective Lagrangian is constructed for the system of pions, rho mesons and skyrmions in the light of a hidden local SU(2) symmetry in a non-linear sigma model. It describes vector dominance relations such as the KSRF relation, the rho universality and the rho-pole dominance in the photon coupling. It also satisfies all soft-pion threshold theorems.

We present general solutions to the Wess-Zumino anomaly equation which incorporate vector mesons as dynamical gauge bosons of the hidden local symmetry in the nonlinear chiral Lagrangian. In contrast to the previous attempts to introduce the vector mesons, our formalism enables one to treat consistently and systematically various processes associated with pseudoscalar mesons (Nambu-Goldsone bosons) and vector mesons (dynamical gauge bosons); it is automatic in this framework that the on-shell amplitudes of photons and pseudoscalar mesons such as π^0 →2γ and γ→3 π which are fixed by the low energy theorems, are not affected no matter how the vector mesons participate in those processes. We further show that the “complete vector meson dominance” hypothesis of photon couplings is invalid in either π^0 →2γ or γ→3π process.