Exact self-consistent plane-symmetric solutions of the spinor-field equation with a nonlinear term dependent on the invariant P2

1997 ◽  
Vol 40 (7) ◽  
pp. 635-640
Author(s):  
G. N. Shikin
Keyword(s):  
Field Equation ◽  
Spinor Field ◽  
Nonlinear Term ◽  
Plane Symmetric ◽  
Self Consistent ◽  
Spinor Field Equation

On the Connection of Nonrenormalizable and Renormalizable Unified Nonlinear Spinor Field IVfodels

1984 ◽  
Vol 39 (5) ◽  
pp. 441-446
Author(s):  
H. Stumpf
Keyword(s):  
Field Equation ◽  
Spinor Field ◽  
Order Derivative ◽  
Simultaneous Diagonalization ◽  
Field Equations ◽  
Nonlinear Spinor ◽  
Original Field ◽  
Higher Order Derivative ◽  
Grand Canonical ◽  
Spinor Field Equation

The nonrenormalizable first order derivative nonlinear spinor field equation with scalar interaction possesses two equivalent Hamiltonians. The first is the conventional one while the second is a two-field Hamiltonian with the original field and its parity transform. By quantization the latter leads to an inequivalent representation compared with the former. This is connected with parity symmetry breaking and the loss of simultaneous diagonalization of energy and subfield particle numbers. The corresponding grand canonical Hamiltonian is shown to result equivalently from a renormalizable second order derivative nonlinear spinor field equation. This is achieved by means of a theorem about the decomposition of higher order derivative nonlinear spinor field equations derived previously

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

2016 ◽  
Vol 15 (02) ◽  
pp. 1650018 ◽  
Author(s):  
Fatma Aydogmus
Keyword(s):  
Field Equation ◽  
White Noise ◽  
Spinor Field ◽  
Gaussian White Noise ◽  
Classical Field ◽  
Phase Portraits ◽  
Recurrence Plots ◽  
Field Equations ◽  
Four Dimensions ◽  
Spinor Field Equation

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.

On a “conformal spinor field equation”

1981 ◽  
Vol 107 (6) ◽  
pp. 434-436 ◽  
Author(s):  
P. Budinich ◽  
P. Furlan
Keyword(s):  
Field Equation ◽  
Spinor Field ◽  
Spinor Field Equation

scholarly journals ABELIAN GAUGE THEORY IN DE SITTER SPACE

2005 ◽  
Vol 20 (31) ◽  
pp. 2387-2396 ◽  
Author(s):  
S. ROUHANI ◽  
M. V. TAKOOK
Keyword(s):  
Field Equation ◽  
Gauge Theory ◽  
Spinor Field ◽  
De Sitter ◽  
Abelian Gauge ◽  
Abelian Gauge Theory ◽  
Sitter Spacetime ◽  
Free Fields ◽  
Conserved Currents ◽  
Spinor Field Equation

Quantization of spinor and vector free fields in four-dimensional de Sitter spacetime, in the ambient space notation, has been studied in the previous works. Various two-point functions for the above fields are presented in this paper. The interaction between the spinor field and the vector field is then studied by the Abelian gauge theory. The U (1) gauge invariant spinor field equation is obtained in a coordinate independent way notation and their corresponding conserved currents are computed. The solution of the field equation is obtained by the use of the perturbation method in terms of the Green's function. The null curvature limit is discussed in the final stage.

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