2n-dimensional at Fujii model instanton-like solutions and coupling constant’s role between instantons with higher derivatives

Abstract

An instanton-like solution is considered for a class of two-dimensional conformal model with Liouville term. The model expressed here is a new higher-dimensional model with scalar-spinor interaction on evendimensional spaces, and is a generalization of the even-dimensional Fujii model. A recurrence relation for the Fujii model and coupling constant’s indices between relations with interaction constant is extracted. The behavior of G¨ursey, Akdeniz-Smailagi´c and Fujii coupling constants in 4-dimensional conformal models are examined.