Field Theory of the Spinning Electron: II — The New Non-Linear Field Equations

1997 ◽  
pp. 253-260
Author(s):  
Erasmo Recami ◽  
Giovanni Salesi
Keyword(s):  
Field Theory ◽  
Field Equations ◽  
Non Linear ◽  
Linear Field

Particle states of a quantized meson field

1961 ◽  
Vol 262 (1309) ◽  
pp. 237-245 ◽  
Keyword(s):  
Field Theory ◽  
Classical Field Theory ◽  
Classical Field ◽  
Quantum States ◽  
Meson Field ◽  
Field Equations ◽  
Non Linear ◽  
Linear Field

A simple non-linear field theory is considered as the model for a recently proposed classical field theory of mesons and their particle sources. Quantization may be made according to canonical procedures; the problem is to show the existence of quantum states corresponding with the particle-like solutions of the classical field equations. A plausible way to do this is suggested.

CONFORMALLY COVARIANT COUPLED NON-LINEAR FIELD THEORY ON THE HYPERCONE: VACUUM SOLUTIONS AND QUANTIZATION OF NORMAL MODES

1988 ◽  
Vol 03 (02) ◽  
pp. 161-165
Author(s):  
T. AÇIKTEPE ◽  
K.G. AKDENIZ ◽  
A.O. BARUT ◽  
J. KALAYCI
Keyword(s):  
Field Theory ◽  
Normal Modes ◽  
Scalar Fields ◽  
Particle Spectrum ◽  
Geometric Meaning ◽  
Model Type ◽  
Quantized Fields ◽  
Non Linear ◽  
Vacuum Solutions ◽  
Linear Field

For the conformally covariant coupled non-linear spinor-scalar fields of the σ -model type we show that the non-trivial vacuum instanton solutions have a geometric meaning as constant spinors on the five-dimensional hypercone. The quantized fields around these solutions correspond to the normal modes of the hypercone. A connection is thus established between field theory, particle spectrum of the fields and quantized excitations of a geometry (the hypercone).

Non-Linear Generalization of the Relativistic Schrödinger Equations

1996 ◽  
Vol 51 (9) ◽  
pp. 965-982
Author(s):  
U. Ochs ◽  
M. Sorg
Keyword(s):  
Numerical Results ◽  
Schrodinger Equations ◽  
Higgs Potential ◽  
Schrödinger Equations ◽  
Field Equations ◽  
Non Linear ◽  
Klein Gordon ◽  
The Universe ◽  
Linear Field

Abstract The theory of the Relativistic Schrödinger Equations is further developped and extended to non-linear field equations. The technical advantage of the Relativistic Schrödinger approach is demonstrated explicitly by solving the coupled Einstein-Klein-Gordon equations including a non-linear Higgs potential in case of a Robertson-Walker universe. The numerical results yield the effect of dynamical self-diagonalization of the Hamiltonian which corresponds to a kind of quantum de-coherence being enabled by the inflation of the universe.

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