Hidden Local Symmetry and Chiral Effective Theory for Vector and Axial-vector Mesons

Details Hidden Local Symmetry and Chiral Effective Theory for Vector and Axial-vector Mesons Hidden Local Symmetry and Chiral Effective Theory for Vector and Axial-vector Mesons

2004-11-05

arxiv.org/abs/hep-ph/0411078v1

Eur.Phys.J. C39 (2005) 201-208

Physics

High Energy Physics

High Energy Physics - Phenomenology

RevTex, 18 pages, to be published in EPJC

Scientific paper

10.1140/epjc/s2004-02076-y

In this paper, we present the full Lagrangian of mesons (pseudoscalars, vectors and axial-vectors) to $O(p^4)$ by using the explicit global chiral symmetry and hidden local symmetry in the chiral limit. In this approach, we see that there are many other terms besides the usual eleven terms given in the literature from hidden local symmetry approach. Of particular, there are some terms in our full results which are important for understanding the vector meson dominance and $\pi-\pi$ scattering and providing consistent predictions on the decay rates of $a_1\to\gamma\pi$ and $a_1\to\rho\pi$ as well as for constructing a consistent effective chiral Lagrangian with chiral perturbation theory. It is likely that the structures of the effective chiral Lagrangian for $O(p^4)$ given in the literature by using hidden local symmetry are incomplete and consequently the resulting couplings are not reliable. It is examined that the more general effective chiral Lagrangian given in present paper can provide more consistent predictions for the low energy phenomenology of $\rho-a_1$ system and result in more consistent descriptions on the low energy behavior of light flavor mesons.

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