scholarly journals Exact Soliton-Like Spherical Symmetric Solutions of the Heisenberg-Ivanenko Type Nonlinear Spinor Field Equation in Gravitational Theory

2020 ◽  
Vol 08 (07) ◽  
pp. 1236-1254
Author(s):  
A. Adomou ◽  
Jonas Edou ◽  
Valerie I. S. Hontinfinde ◽  
Siaka Massou
Keyword(s):  
Field Equation ◽  
Spinor Field ◽  
Gravitational Theory ◽  
Nonlinear Spinor ◽  
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.

scholarly journals Nonlinear Spinor Field Equations in Gravitational Theory: Spherical Symmetric Soliton-Like Solutions

2012 ◽  
Vol 03 (09) ◽  
pp. 935-942 ◽  
Author(s):  
V. Adanhounme ◽  
A. Adomou ◽  
F. P. Codo ◽  
M. N. Hounkonnou
Keyword(s):  
Spinor Field ◽  
Gravitational Theory ◽  
Field Equations ◽  
Nonlinear Spinor ◽  
Symmetric Soliton

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.

scholarly journals Effective Interactions of Relativistic Composite Particles in Unified Nonlinear Spinor-Field Models. I

1985 ◽  
Vol 40 (1) ◽  
pp. 14-28
Author(s):  
H. Stumpf
Keyword(s):  
Spinor Field ◽  
Bound States ◽  
Composite Particle ◽  
Composite Particles ◽  
Statistical Interpretation ◽  
Particle Spectrum ◽  
Nonlinear Spinor ◽  
Effective Interactions ◽  
Scattering States ◽  
Diagonal Part

Unified nonlinear spinor field models are selfregularizing quantum field theories in which all observable (elementary and non-elementary) particles are assumed to be bound states of fermionic preon fields. Due to their large masses the preons themselves are confined. In preceding papers a functional energy representation, the statistical interpretation and the dynamical equations were derived. In this paper the dynamics of composite particles is discussed. The composite particles are defined to be eigensolutions of the diagonal part of the energy representation. Corresponding calculations are in preparation, but in the present paper a suitable composite particle spectrum is assumed. It consists of preon-antipreon boson states and threepreon- fermion states with corresponding antifermions and contains bound states as well as preon scattering states. The state functional is expanded in terms of these composite particle states with inclusion of preon scattering states. The transformation of the functional energy representation of the spinor field into composite particle functional operators produces a hierarchy of effective interactions at the composite particle level, the leading terms of which are identical with the functional energy representation of a phenomenological boson-fermion coupling theory. This representation is valid as long as the processes are assumed to be below the energetic threshold for preon production or preon break-up reactions, respectively. From this it can be concluded that below the threshold the effective interactions of composite particles in a unified spinor field model lead to phenomenological coupling theories which depend in their properties on the bound state spectrum of the self-regularizing spinor theory.

Sign in / Sign up

Export Citation Format

Share Document