Relation between Generators of Gauge Transformations and Subsidiary Conditions on State Vectors : Point Mechanical Systems with Atbitrary Numbers of Constraints : Particles and Fields

スポンサーリンク

概要

• 論文の詳細を見る

• A general formulation of quantization of gauge theories is studied by imposing a subsidiary condition on state vectors in the Hilbert space in order to remove unphysical gauge components. The subsidiary condition is made of the generator of gauge transformations which is a linear combination of the first class constraints. The procedure is applied to a typical model of point mechanics which has characteristic features of Abelian gauge theories with series of arbitrary numbers of secondary constraints. It is sufficient to employ a single subsidiary condition for each gauge degree of freedom in order to remove all unphysical gauge components originated from the series of secondary constraints. Half of the gauge components turn out to be unphysical states and the other half to be physical but zero norm states. Indefinite metric appears even in point mechanics.

• 理論物理学刊行会の論文
• 1985-04-25

著者

• Sohkawa T

  Research Institute For Atomic Energy Osaka City University

• Sohkawa Tohru

  Research Institute For Atomic Energy Osaka City University

• Sohkawa Tohru

  Research Institute Of Atomic Energy Osaka City University

• KIMURA Tadahiko

  Department of Physics, Chiba University

• KIMURA Toshiei

  Research Institute for Theoretical Physics, Hiroshima University

• SUGANO Reiji

  Department of Physics, Osaka City University

• Kimura T

  Chiba Univ. Chiba

• Kimura Toshiei

  Research Institute For Theoretical Physics Hiroshima University

• Sugano Reiji

  Department Of Physics Kyoto University

• KIMURA Tetsushi

  Atomic Energy Research Institute College of Science and Technology, Nihon University

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
• On the Functional Measure for Quantum Gravity in the Light-Cone Gauge
• A Possible Mechanism of Ghost Confinement in a Renormalizable Quantum Gravity
• Canonical Quantum Theory of Gravitational Field with Higher Derivatives. II : Asymptotic Fields and Unitarity Problem
• On the Grand Unified Model of the Nambu-Jona-Lasino Type
• Canonical Quantum Theory of Gravitational Field with Higher Derivatives
• Gauge Theories of Massless Antisymmetric Tensor-Spinor Fields of Higher Ranks and Superspace Formalism : Particles and Fields
• A Superspace Formulation of Massless Antisymmetric Tensor Fields of Higher Rank
• Canonical Quantum Theory of Gravitational Field with Higher Derivatives. III : A Formulation with an Additional BRS Invariance
• Chiral Symmetry in the Unified Fermion Theory. III : Quantization
• A Theory of Anomalous Gravitational Interaction. III : Breakdown of the Bianchi Identities
• General Vertex with Physical Excited Particles in the Dual Resonance Model of the Virasoro Case
• Relation between Generators of Gauge Transformations and Subsidiary Conditions on State Vectors : Point Mechanical Systems with Atbitrary Numbers of Constraints : Particles and Fields
• Representations of the Poincare Group, Position Operator and the Bi-Local Model
• Physically Acceptable Solution of Einstein's Equation for Many-Body System
• Manifestly Covariant Canonical Quantization of 3-D QED with Chern-Simons Term
• A Parity Invariant Regularization in 3-D Quantum Electrodynamics
• Infrared Divergences in Massless Quantum Electrodynamics
• Superparticles and Division Algebras : Six Dimensions and Quaternions
• Superparticles and Division Algebras : Ten Dimensions and Octonions
• 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
• Spontaneous Breakdown of N=1 Superconformal Symmetry into Conformal Symmetry
• Pseudoscalar Coupling and S-Wave Pion-Nucleon and Kaon-Nucleon Scattering
• Fokker Lagrangian and Coordinate Condition in General Relativity : Astrophysics and Relativity
• Reduction Formula and Non-Leptonic Decays in Light Front Formalism
• Low Energy Kaon-Nucleon Reactions
• Coupling Constant of Kaon-Baryon Interaction, II
• Coupling Constant of Kaon-Baryon Interaction, I
• On the Coupling Constants of Strong Interactions
• 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
• Weak-Boson Mass from Available Neutrino Data
• Variation Principle for Non-Linear Lagrangian in Quantum Mechanics
• Poincare-Cartan Invariant Form and Dynamical Systems with Constraints. II
• On G-Parity Doublet Bosons
• : 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
• On the Bethe-Salpeter Fquation for the Scalar-Spinor Particle System
• 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
• Relativistic Mechanics of Two Interacting Particles with Mass
• 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
• Poincare-Cartan Invariant Form and Dynamical Systems with Constraints
• Classical Theory of Open Membrane
• On Weak Interaction and Its Selection Rule of the Quartet Model Based on SU(4)⊃SU(2) ⊗SU(2)
• Schwinger's Variation Principle by Means of Q-Number Variation for Non-Linear Lagrangian
• On the Consistency between Lagrangian and Hamiltonian Formalisms in Quantum Mechanics. III
• Q-Number Variational Method for Non-Linear Lagrangian in Quantum Mechanics
• On the Commutator of Non-Conserved Stress Tensors
• Perturbation Calculation of Gravitational Potentials
• Symmetry Breaking Pattern of SU(4) and Baryon Masses
• 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
• Violation Model of OZI Rule Due to Spinless Bosons
• Anomalous Interactions of High Energy Muons
• On Possibility of Existence of a New Particle Family : An Interpretation of Anomalous Events by Cosmic Ray Deep Underground
• Note on Recently Discovered Resonant States in the Meson Family
• On Consistency between Lagrange and Hamilton Formalisms in Quantum Mechanics : Case of Non-Relativistic Velocity-Dependent Potential
• 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
• On the Production of Abnomal Bosons
• 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

もっと見る 閉じる

スポンサーリンク