[en] The U(3) x U(3) Nambu - Jona-Lasinio model with the gluon condensate and axial anomaly (^'t Hooft determinant) is investigated at finite temperature. The behaviour of the constituent quark masses, quark condensates, meson masses, coupling constants as functions of temperature is studied. It is shown that the gluon condensate plays a stabilizing role for the behaviour of physical quantities when temperature changes. This influence is more visible for the light quarks (up and down). The axial anomaly and the mixing angle (η - η^') decrease with increasing temperature. 26 refs., 11 figs

[en] The amplitude of process yy → ππ and pion polarizability within the linear sigma-model are considered. Calculations in the current algebra and in the field theory with Lagrangians have led to various theoretical predictions as to the πsup(0)-meson polarizability. It is shown that yy → ππ amplitude has 'anomalous' behaviour from the point of view of the current algebra hypothesis and changes sharply near the threshold of two-pion production. In this connection the experimental study should give different values for pion polarizability depending on an energy region measured

[en] Nonleptonic and weak nonleptonic decays of etasub(c) in chiral theory are considered. The lagrangian of a strong interaction is taken to be invariant under the SU(4) x SU(4) group. Symmetry breaking is chosen according to the simplest representation of (4,4sup(*)) + (4sub(*),4) of the SU(4) x SU(4) group. The lagrangian of a weak interaction is taken in the ''current x current'' form and satisfies exactly the rule of |ΔI| = 1 in ''ideal'' case of THETAsub(c) = 0. Among nonleptonic decays of etasub(c) dominate those going over isospin breaking. Among weak nonleptonic decays dominate decays to D⁰K⁰, F⁺π^-, K^-π⁺D⁰, D⁺π^- K⁰. An explicit form of meson matrix for the SU(4) group is extracted

[en] During the last ten years the renormalization group idea of asymptotic freedom has been dominating in QCD. The 1984 - theoretical revolution led to consistent unification theories without ultraviolet divergences where the renormalization equations became identities and lost their physical meaning. Here QCD is considered as a part of such a consistent theory and a new mechanism is proposed of the dimensional transmutation based on the collective excitation of infrared fields that are usually omitted in the canonical quantization. It is shown that the quantization of the infrared fields leads to one of the versions of the ''confinement propagator''

[en] The effective model of the unified description of quarkonia by the covariant generalization of the instantaneous interaction is considered. It is shown that low energy theorems of the chiral algebra (spontaneously symmetry breaking, Goldstone theorem), a nonrelativistic limit for heavy quarkonia and a heavy quark symmetry in the framework of the model are reproduced. The solutions of the Schwinger-Dyson and Bethe-Salpeter equations for light and heavy quarkonia and their excitations are obtained. (author)

[en] Nonleptonic decays of charmed mesons in chiral theory are considered. The lagrangian of strong interaction is taken to be invariant under the SU(4)xSU(4) group. Symmetry breaking is chosen according to the (4,4sup(*))+(4sup(*),4) simplest representation of the SU(4)xSU(4) group. The lagrangian of weak interaction is taken in the ''current x current'' form and satisfies exactly the rule probabilities of decays for D and F mesons are compared with available experimental data

[en] The one-loop approach to K → 2π decay and the mass difference Ksub(L)-Ksub(S) neutral kaons in chiral theory are considered. It is shown that the baryon loops give small contribution to the decay amplitude (13%) and cannot bring to the factors of ''dymnamical'' enhancement at the expense of strong interactions

[en] Properties of a scalar σ meson are investigated in the two-flavor Nambu-Jona Lasinio model with the Polyakov loop (PNJL). Model analysis of the phase diagram of strong interacting matter is performed. The temperature dependence of the σ → ππ decay width is studied at the zero chemical potential and near the critical end point. The calculated strong coupling constant g_σππ and the decay width are compared with available experimental data and other model results. Nonthermal enhancement of the total decay width is noted for the σ meson near the critical end point when the condition m_σ ≥ 2m_π is broken

[en] In this part the calculus to describe meson-decay constants and the nonleptonic transitions for D and B mesons in a bilocal meson field theory are formulated. 10 refs.; 1 fig.; 3 tabs

[en] Nonleptonic decays of charmed baryons in chiral theory are considered. The Lagrangian of weak interaction is taken in the ''current x current'' form and satisfies exactly the rule. ΔT=1 in ideal case THETAsub(c)=0. Currents are the nonlinear realization of the chiral group SU(4)xSU(4). The nonleptonic decays of strange baryons are considered. It follows from the experimentally known data that the theory describes satisfactorily only the S-wave part of decay amplitude in the ''tree'' approach