THE BEHAVIOURS OF GURSEY INSTANTONS IN PHASE SPACE

Abstract

In our previous study, we have investigated the behaviours of spinor-type instantons in two-dimensional conformally invariant pure spinor Thirring model in phase space. In this paper, we study the role of the coupling constant in the evolution of the four-dimensional spinor-type instantons in phase space via the Heisenberg ansatz. For this purpose, we consider the Gursey model is a four-dimensional conformally invariant pure spinor model with nonlinear self-coupled spinor term. The model proposed in 1956 as a possible basis for a unitary description of elementary particles (Heisenberg Bohr dream). This study will also lead us to investigate the dependence of the behaviours of spinor-type instantons in phase space on quantum fractional spinor number as well as dimensions.