Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2000-07-11
Phys.Rev. D62 (2000) 114013
Physics
High Energy Physics
High Energy Physics - Phenomenology
23 pages, plain LaTex, no figures
Scientific paper
10.1103/PhysRevD.62.114013
We present a derivation of the low-energy effective meson Lagrangian of the extended Nambu -- Jona-Lasinio (ENJL) model. The case with linear realization of broken $SU(2)\times SU(2)$ chiral symmetry is considered. There are two crucial points why this revision is needed. Firstly it is the explicit chiral symmetry breaking effect. On the basis of symmetry arguments we show that relevant contributions related with the current quark mass terms are absent from the effective Lagrangians derived so far in the literature. Secondly we suggest a chiral covariant way to avoid non-diagonal terms responsible for the pseudoscalar -- axial-vector mixing from the effective meson Lagrangian. In the framework of the linear approach this diagonalization has not been done correctly. We discuss as well the $SU(2)\times SU(2)/SU(2)$ coset space parametrization for the revised Lagrangian (nonlinear ansatz). Our Lagrangian differs in an essential way from those that have been derived till now on the basis of both linear and nonlinear realizations of chiral symmetry.
Hiller Brigitte
Osipov Alexander A.
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