Title: GREEN FUNCTION APPROACH TO THE THEORY OF SUPERCONDUCTIVITY IN THE t-J MODEL
Authors:N.M.Plakida (Joint Institute for Nuclear Research, 141980 Dubna, Russia)

The theory of superconducting pairing due to the exchange and kinematical interactions in the $\boldsymbol{t-J}$ model in a paramagnetic state is developed. The Dyson equation for the matrix Green functions in terms of the Hubbard operators is obtained in the noncrossing approximation. The linearized self-consistent system of Eliashberg equations is proposed to study the temperature and doping dependence of the quasi-particle hole spectrum in the normal state and to calculate the temperature of the superconducting phase transition and the symmetry of the gap function.

Key words: superconductivity, quasi-particle, Dyson equation, Green functions, Hubbard operators
Comments: Figs. 0, Refs. 19, Tabs. 0.