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    THE BEHAVIOURS OF GURSEY INSTANTONS IN PHASE SPACE
    (Wydawnictwo Uniwersytetu Jagiellonskiego, 2013) Aydogmus, Fatma; Canbaz, Beyrul; Onem, Cem; Akdeniz, K. Gediz
    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.
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    From Heisenberg ansatz to attractor of Thirring Instanton
    (Pergamon-Elsevier Science Ltd, 2012) Canbaz, Beyrul; Onem, Cem; Aydogmus, Fatma; Akdeniz, K. Gediz
    Recently we have investigated the role of the coupling constant in the evolution of the two dimensional spinor-type instantons (Thirring Instantons [1]) in phase space [2] via Heisenberg ansatz. In this paper we study the stability of bifurcation points of the Thirring Instanton's behaviours in phase space. (C) 2011 Elsevier Ltd. All rights reserved.