А. А. Бельков, А. В. Ланев Объединенный институт ядерных исследований, Дубна
Подробно рассмотрено получение эффективных мезонных
лагранжианов в высших порядках кирального разложения из бозонизации
четырехкваркового взаимодействия расширенной модели
Намбу-Иона-Лазинио (НИЛ), трактуемой как локальное приближение
низкоэнергетической КХД. We consider deriving the effective meson higher-order lagrangians from bosonization of four-quark interaction within extended Nambu-Jona-Lasinio (NJL) model which can be treated as a local approximation of low-energy QCD. The results of calculating the heat-kernel coefficients for quark determinant of the bosonized NJL model are presented systematically up to and including O(p7). The obtained results are used to fix the structure coefficients of the effective chiral lagrangians at O(p4) and O(p6). We discuss various aspects to apply the bosonized lagrangians and to describe low-energy meson processes: reduction of vector, axial-vector and scalar resonances, regularization of meson loop diagrams, dependence of the phenomenological structure coefficients on the renormalization scheme and regularization scale. The nonlocal corrections to the structure coefficients of the bosonized lagrangians are treated also in the context of physical justification of the NJL model as a low-energy limit of QCD. Full text in PDF (501.253) |