Effective functional for the supercoherent state of spinless algebra in the Hubbard model

Abstract

The supermatrix of a supercoherent state is calculated for deformed nonlinear superalgebra in the mode of spinless fermions for the Hubbard model with strong repulsion in sites. The effective functional is derived for spinless fermions. The superfield Lagrangian is calculated for spinless fermions in the Hubbard model with the help of the simple chiral model with N = 1 and self-action Ф 3 .