Group of Paths, Holonomy Groups and Nonintegrable Phase Factors in <Poincare>^^^- Gauge Theory of Gravity : Particles and Fields
スポンサーリンク
概要
- 論文の詳細を見る
In <Poincare>^^- gauge theory of gravity, which is based on the principal fiber bundle ℒ over the spacetime having the covering group P^^-_0 of the proper orthochronous Poincare group as the structure group, we examine the group of paths holonomy groups and nonintegrable phase factors: (i) Considerng the semi-direct product EP^^-_0=^^<def>[Path]⊗__-P^^-_0, where [Path] stands for the group of paths in a four-dimensional Minkowski space, we construct a linear representation of EP^^-_0 by defining the action of this group on the fiber bundle ℒ. The parallel transports in ℒ, the holonomy group and the nonintegrable phase factor are all described by this representation. (ii) Correpsonding discussions are given for the affine frame bundle over the spacetime. Remarkable is the fact that the motions of a point and of a vector are both described by the nonintegrable phase factor. Discussions can be easily extended to the case in which <Poincare>^^- gauge and Yang-Mills gauge fields coexist. Nonintegrable phase factors are equally important in <Poincare>^^- gauge theory of gravity as well as in the Yang-Mills gauge theory.
- 理論物理学刊行会の論文
- 1990-11-25
著者
-
KAWAI Toshiharu
Department of Medical Genetics, Graduate School of Comprehensive Human Sciences, University of Tsuku
-
Kawai T
Okaya Shinnichi Corporation Of America
-
Kawai Toshiharu
Department Of Medical Genetics Graduate School Of Comprehensive Human Sciences University Of Tsukuba
関連論文
- Filaggrin null mutations are associated with atopic dermatitis and elevated levels of IgE in the Japanese population: a family and case–control study
- De Sitter Gauge Theory of Gravitation. II
- A Charged Kerr Metric Solution in New General Relativity : Astrophysics and Relativity
- Special Relativistic Limit of Gauge Theory of Gravitation
- Generalized Equivalence Principle in Extended New General Relativity
- Schwarzschild Space-Time in Gauge Theories of Gravity
- Energy-Momentum and Angular Momentum Carried by Gravitational Waves in Extended New General Relativity(General and Mathematiacal Physics)
- An Extended New General Relativity as a Reduction of ^^^- Gauge Theory of Gravity : Generators of Internal and Coordinate Transformations : Particles and Fields
- A Five Dimensional Unification of the Poincare Gauge and Electromagnetic Fields
- A Five Dimensional Unification of the Vierbein and Electromagnetic Fields. II : Geometric Structure with Regard to Affine Connection of the Bundle Space
- Black-Hole-Type Solution in Teleparallel Theory of (2+1)-Dimensional Gravity
- De Sitter Gauge Theory of Gravitation
- (3+1)-Structure of Space-Time in ^^^- Gauge Theory of Gravity : Particles and Fields
- Distributional Energy-Momentum Densities Schwarzschild Space-Time : Astrophysics and Relativity
- Energy-Momentum and Angular Momentum in ^^^- Gauge Theory of Gravity : Particles and Fields
- A Note on
- A Five Dimensional Unification of the Vierbein and Electromagnetic Fields
- Physiological Changes Related to Diapause of the Lady Beetle, Harmonia axyridis(Coleoptera:Coccinellidae)
- Group of Paths, Holonomy Groups and Nonintegrable Phase Factors in ^^^- Gauge Theory of Gravity : Particles and Fields
- Schwinger's Variational Principle in Quantum Mechanics with Velocity Dependent Potential. I : One Dimensional Case
- Generators of Internal Lorentz Transformations and of General Affine Coordinate Transformations in Teleparallel Theory of (2+1) -Dimensional Gravity : Cases with Static Circularly Symmetric Space-Times : Particles and Fields
- Duality of Orbifoldized Elliptic Genera
- Special Relativistic Limits of ^^^- Gauge Theory of Gravity : Particles and Fields
- Sum Rules Based on Khuri Amplitudes and Degeneracy of Regge Trajectories
- Schwinger's Variational Principle in Quantum Mechanics with Velocity Dependent Potential. III
- Schwinger's Variational Principle in Quantum Mechanics with Velocity Dependent Potential. II : Reducible Multi-Dimensional Case
- Extended Spinor Structure and Exotic Spinor Field in ^^^- Gauge Theory of Gravity : Particles and Fields
- Higher-Rank Supersymmetry and Topological Field Theory
- Singularities of "Schwarzschild-Like" Space-Time in New General Relativity : Progress Letters
- The Inhomogeneous Transformation Laws of Currents and the Schwinger Terms in 2D Conformal Field Theories : Particles and Fields
- A Note on ^^^- Gauge Theory of Gravity