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Numeric Solutions of Dirac–Gursey Spinor Field Equation Under External Gaussian White Noise

Fatma Aydogmus

Fatma Aydogmus

Department of Physics, Istanbul University, Istanbul, Turkey

E-mail Address: fatma.aydogmus@gmail.com

E-mail Address: fatmaa@istanbul.edu.tr

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https://doi.org/10.1142/S0219477516500188Cited by:3 (Source: Crossref)

Abstract

In this paper, we consider the Dirac-Gursey spinor field equation that has particle-like solutions derived classical field equations so-called instantons, formed by using Heisenberg ansatz, under the effect of an additional Gaussian white noise term. Our purpose is to understand how the behavior of spinor-type excited instantons in four dimensions can be affected by noise. Thus, we simulate the phase portraits and Poincaré sections of the obtained system numerically both with and without noise. Recurrence plots are also given for more detailed information regarding the system.

Communicated by Igor Goychuk

Keywords:

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