Journal ArticleDOI
Elementary Spinorial Excitations in a Model Universe
Antonio F. Rañada,Mario Soler +1 more
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In this article, the generalized covariant Dirac equation for a certain five-dimensional universe is studied and it is shown that particle-like stable solutions exist having definite positive rest energy, spin, and corresponding antiparticles.Abstract:
The generalized covariant Dirac equation for a certain five‐dimensional universe is studied. If a torsion invariant is included in the free Lagrangian, it is shown that particlelike stable solutions exist having definite positive rest energy, spin, and corresponding antiparticles. The treatment is throughout classical.read more
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Wave equation for a magnetic monopole
TL;DR: In this article, it was shown that the Dirac equation admits a second electromagnetic minimal coupling associated to the chiral gauge law, which is only valid for a massless particle, but satisfies all the symmetry laws of a monopole.
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Spinor fields in Bianchi type-I universe
TL;DR: In this article, a system of minimally coupled nonlinear spinor and scalar fields within the scope of a Bianchi type-I cosmological model in the presence of a perfect fluid and a Cosmological constant (Λ term) is studied, and solutions to the corresponding field equations are obtained.
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Nonlinear spinor field in isotropic space-time and dark energy models
TL;DR: In this paper, the role of nonlinear spinor field in the evolution of the universe is studied within the scope of the isotropic FRW cosmological model and the utility of spinor description of matter is established.
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Particle behavior in aesthetic field theory
TL;DR: In this paper, the principles of aesthetic field theory and the latest results obtained from computer studies of the equations are reviewed and the results of the analysis of the field equations are presented.
References
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Journal ArticleDOI
Lorentz Invariance and the Gravitational Field
TL;DR: In this article, Utiyama's discussion is extended by considering the 10-parameter group of inhomogeneous Lorentz transformations, involving variation of the coordinates as well as the field variables.
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Invariant theoretical interpretation of interaction
TL;DR: In this paper, a general rule is obtained for introducing a new field in a definite way with a definite type of interaction with the original fields by postulating the invariance of these systems under a wider group derived by replacing the parameters of the original group with a set of arbitrary functions.
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Extended Translation Invariance and Associated Gauge Fields
Kenji Hayashi,Tadao Nakano +1 more
TL;DR: In this article, a prescription is given to convert a non-invariant canonical (pseudo) energy-momentum tensor into an invariant one, and the symmetric part of these field equations is examined for the two cases: (1) under linear and non-relativistic approximation, it reduces to the classical gravitational field equation, (2) for static and spherically symmetric field, its solution is shown to correspond to Schwarzschild's solution.
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Classical, Stable, Nonlinear Spinor Field with Positive Rest Energy
TL;DR: In this paper, the influence of nonlinear (fourth-order) terms in the Lagrangians of some classical relativistic field theories is investigated, independently of the mass and coupling-constant parameters.
Journal ArticleDOI
A Remark on the Coupling of Gravitation and Electron
TL;DR: In the theory of gravitation as discussed by the authors, the metric potentials were considered as independent quantities (metric vs. mixed theory) in the coupling of gravitational and electronic fields, which can be easily straightened out by a slight change of the Lagrangian; see the theorem at the end of the paper.