On the Quantum Field Theory of the Interaction between the Graviton and the Matter Field, II : Formulation without the Coordinate Condition
スポンサーリンク
概要
- 論文の詳細を見る
The quantum theory of Einstein's linear gravitational field interacting with the elementary particles is formulated without using the coordinate condition. The canonical formalism is built up by the Dirac method of generalized Hamiltonian dynamics. It is necessary, for the requirement of being quantized in a consistent way, that the operation of creation of a spinor particle must involve the simultaneous creation of a spinor particle and of the gravitational potential around it. We show that this procedure of the quantization corresponds to the method extended from the Yang-Feldman's in the previous paper^<1)>. In the Heisenberg representation, we decompose, in the usual covariant way, the gravitational field into three parts : the transverse graviton, the gravitational potential between the matters, and the part which cannot be quantized. And also the formalism in the Heisenberg representation is transformed into the one in the interaction representation, and the same interaction Hamiltonian is obtained as in the previous paper^<1)>.
- 理論物理学刊行会の論文
著者
関連論文
- Axial Anomaly for Gravitino and Unconventional FP Ghosts
- Energy Density Commutator for Massless Spin 3/2 Field in a Covariant Gauge
- Canonical Quantization of Massless and Massive Spin 3/2 Field in General Covariant Gauges
- Chiral Symmetry in the Unified Fermion Theory. III : Quantization
- A Theory of Anomalous Gravitational Interaction. III : Breakdown of the Bianchi Identities
- Relation between Generators of Gauge Transformations and Subsidiary Conditions on State Vectors : Point Mechanical Systems with Atbitrary Numbers of Constraints : Particles and Fields
- Physically Acceptable Solution of Einstein's Equation for Many-Body System
- On the Electromagnetic and Gravitational Interactions and Schwinger Terms
- Generator of Gauge Transformation in Phase Space and Velocity Phase Space : Particles and Fields
- On the Relation of First-Class Constraints to Gauge Degrees of Freedom
- Anomalies in Four-Dimensional Curved Space with Torsion : Particles and Fields
- Covariant Lorentz Anomalies in Higher Dimensional Space : Particles and Fields
- Static Balance of Two Charged Particles in General Relativity
- Fokker Lagrangian and Coordinate Condition in General Relativity : Astrophysics and Relativity
- Electrodynamics in the Expanding Universe
- On the Canonical Formalism of the Gravitational Field in the Expanding Universe
- Quantum Theory of Fields in an Expanding Space. I
- : Astrophysics and Relativity
- Quantum Theory of Antisymmetric Higher Rank Tensor Gauge Field in Higher Dimensional Space-Time
- Einstein's Theory of Relativity and Mach's Principle
- Coordinate Condition and Higher Order Gravitational Potential in Canonical Formalism
- Pathological Dynamical System with Constraints
- Conformal and Axial Anomalies in Riemann-Cartan Space
- : Astrophysics and Relativity
- On the Path Integral in the Curved Space
- On the New Theory of Gravitation of Hoyle and Narlikar
- A Theory of Anomalous Gravitational Interaction. I : Case of the Bose Particle
- Quantization of the Generalized Rarita-Schwinger Equation
- Covariant Canonical Quantization of Massless Spin 3/2 Field in General Covariant Gauge
- On the Commutation Relation for the Canonical Energy Density
- On the Lagrangian for Many-Body System in General Relativity
- Potential in the Canonical Formalism of Gravity
- On the Choice of Gauge Conditions for Systems with Secondary First Class Constraints
- On the Consistency between Lagrangian and Hamiltonian Formalisms in Quantum Mechanics. III
- On the Commutator of Non-Conserved Stress Tensors
- Perturbation Calculation of Gravitational Potentials
- Coupling of Dirac Particle and Gravitational Field
- An Attempt to Derive the Gravitational Potential
- On the Quantum Field Theory of the Interaction between the Graviton and the Matter Field, II : Formulation without the Coordinate Condition
- Quantization of the Gravitational Field in the Expanding Universe
- Note on Massive Tensor Field in General Convariant Gauges
- Four-Body Forces and the Red Shift
- A Theory of Anomalous Gravitational Interaction. II : Case of the Dirac Particle
- The Photon Self-energy Problem and Microscopic Space-time Structure
- Note on the Gravitational Interaction
- On a Fixation of Gauge and True Observables of Yang-Mills Field
- On the Quantum Field Theory of the Interaction between the Graviton and the Matter Field
- On Consistency between Lagrangian and Hamiltonian Formalisms in Quantum Mechanics. II
- On the Quantization in Non-Linear Theories
- Divergence of Axial-Vector Current in the Gravitational Field
- Antisymmetric Tensor Gauge Field in General Covariant Gauges
- Divergence of Axial-Vector Current in the Gravitational Field. II : Anomalous Commutators and Model Theory
- Canonical Quantization of Massless Tensor Field in General Covariant Gauge
- Fixation of Physical Space-Time Coordinates and Equation of Motion of Two-Body Problem
- Curved Isospin Space with Torsion and Pion-Nucleon Interactions
- Note on Quantum Form of Non-Linear Lagrangian