Infinite-Momentum Limit of a Spinor Field Theory. II

1970 ◽  
Vol 1 (10) ◽  
pp. 2795-2807 ◽  
Author(s):  
David Flory
Keyword(s):  
Field Theory ◽  
Spinor Field

scholarly journals The foundation of the hyperunified field theory I — Fundamental building block and symmetry

2021 ◽  
Author(s):  
Yue-Liang Wu
Keyword(s):  
Field Theory ◽  
Building Block ◽  
Particle Physics ◽  
Spinor Field ◽  
Space Time ◽  
Entangled State ◽  
Fundamental Symmetry ◽  
Fundamental Building Block ◽  
Minkowski Space Time ◽  
Type Symmetry

Starting from the motional property of functional field based on the action principle of path integral formulation while proposing maximum coherence motion principle and maximum locally entangled-qubits motion principle as guiding principles, we show that such a functional field as fundamental building block appears naturally as an entangled qubit-spinor field expressed by a locally entangled state of qubits. Its motion brings about the appearance of Minkowski space–time with dimension determined by the motion-correlation [Formula: see text]-spin charge and the emergence of [Formula: see text]-spin/hyperspin symmetry as fundamental symmetry. Intrinsic [Formula: see text]-spin charge displays a periodic feature as the mod 4 qubit number, which enables us to classify all entangled qubit-spinor fields and space–time dimensions into four categories with respect to four [Formula: see text]-spin charges [Formula: see text]. An entangled decaqubit-spinor field in 19-dimensional hyper-space–time is found to be a hyperunified qubit-spinor field which unifies all discovered leptons and quarks and brings on the existence of mirror lepton–quark states. The inhomogeneous hyperspin symmetry [Formula: see text] as hyperunified symmetry in association with inhomogeneous Lorentz-type symmetry [Formula: see text] and global scaling symmetry provides a unified fundamental symmetry. The maximum locally entangled-qubits motion principle is shown to lay the foundation of hyperunified field theory, which enables us to comprehend long-standing questions raised in particle physics and quantum field theory.

On the Calculation of Nonlinear Spinor Field Functionals

1971 ◽  
Vol 26 (4) ◽  
pp. 623-630 ◽  
Author(s):  
H Stumpf
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Quantum Theory ◽  
Spinor Field ◽  
Functional Equations ◽  
High Energy ◽  
Quantum Field ◽  
Nonlinear Spinor ◽  
Physical Problems ◽  
Physical Information

Abstract Dynamics of quantum field theory can be formulated by functional equations. To develop a complete functional quantum theory one has to describe the physical information by functional operations only. Such operations have been defined in preceding papers. To apply these operations to physical problems, the corresponding functionals have to be known. Therefore in this paper calculational procedures for functionals are discussed. As high energy phenomena are of interest, the calculational procedures are given for spinor field functionals. Especially a method for the calculation of stationary and Fermion-Fermion scattering functionals is proposed.

A nonlocal spinor field theory of matter

1979 ◽  
Vol 10 (3) ◽  
pp. 231-252 ◽  
Author(s):  
G. J. Hyland
Keyword(s):  
Field Theory ◽  
Spinor Field

scholarly journals Elimination of Primitive Divergents from Field Theory by Means of Complex Coupling Constants

1973 ◽  
Vol 26 (6) ◽  
pp. 703
Author(s):  
AF Nicholson
Keyword(s):  
Field Theory ◽  
Matrix Element ◽  
Spinor Field ◽  
Scalar Fields ◽  
Coupling Constants ◽  
Quantum Fields ◽  
Iteration Theory ◽  
Spinor Fields ◽  
S Matrix ◽  
Physical Particle

LSZ. iteration theory is extended to accommodate quantum fields coupled by complex constants, while retaining a positive metric and a Hermitian Hamiltonian. Interpolating and particle (~in, out) fields are linked by an operator U(t) which is nonunitary, so that Haag's theorem may be avoided. It is shown that U(t) may be rendered sufficiently well-behaved as t -+ � 00 to allow development of the iteration series for the T function. For certain combinations of fields the coupling constants and masses can then be chosen so as to eliminate the primitive divergents from the iteration series for any S-matrix element. The theory is illustrated by two models: four spinor plus two scalar fields, and the electromagnetic plus several spinor fields. In the second model not every spinor field corresponds to a stable physical particle, and the LSZ formalism is extended to allow for this.

scholarly journals Gravitational Field in the Unified Spinor Field Theory

1972 ◽  
Vol 48 (2) ◽  
pp. 662-677 ◽  
Author(s):  
Yasuhisa Katayama ◽  
Hiroshi Kokubo
Keyword(s):  
Field Theory ◽  
Gravitational Field ◽  
Spinor Field

Gauge method for a special spinor field transformation

2018 ◽  
Vol 96 (12) ◽  
pp. 1309-1313
Author(s):  
Huang Xiu-Lin ◽  
Xu Yan ◽  
Liu Cheng-Zhi
Keyword(s):  
Field Theory ◽  
Dirac Equation ◽  
Gauge Field ◽  
Spinor Field ◽  
Gauge Field Theory ◽  
Electromagnetic Interactions ◽  
Field Transformation

In this paper, the gauge method for a special spinor field transformation Ψ(x) → Ψ′(x) = exp[(e/m)f(x)γa∂a]Ψ(x) is studied. We demonstrate that the Dirac equation involving electromagnetic interactions can be defined by the gauge method for the spinor field transformation, within the framework of gauge field theory.

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