Composite Particle Dynamics in Quantum Field Theory

Inhaltsverzeichnis

• Notation.
• 1 The Spinorfield Model.
• 1.1 Introduction.
• 1.2 Spinorfield Regularization.
• 1.3 Lagrange Formalism.
• 1.4 Canonical Spinorfield Quantization.
• 1.5 Superindexing.
• 1.6 Symmetry Conditions.
• 2 Covariant Quantum Field Dynamics.
• 2.1 Introduction.
• 2.2 Construction of Functional States.
• 2.3 Symmetries in Functional Space.
• 2.4 Functional Field Equations.
• 2.5 Nonperturbative Normalordering.
• 2.6 Vertex Renormalization.
• 2.7 Limits of Covariant Formalism.
• 3 Algebraic Schrödinger Representation.
• 3.1 Introduction.
• 3.2 Indefinite State Spaces.
• 3.3 Probability Interpretation.
• 3.4 Nonorthogonal Basis Sets.
• 3.5 Cyclic Basis Vector Representations.
• 3.6 Renormalized Eigenvalue Equations.
• 3.7 Functional Eigenvalue Equations.
• 3.8 Normalordering.
• 3.9 Covariant Equations on the Hyperplane.
• 4 Weak Mapping Theorems.
• 4.1 Introduction.
• 4.2 Hard Core States.
• 4.3 Selfconsistent Propagators.
• 4.4 Effective Boson Dynamics.
• 4.5 Direct and Exchange Forces.
• 4.6 Estimate of Exchange Forces.
• 4.7 Weak Mapping in Functional Space.
• 4.8 Dressed Particle States.
• 4.9 Effective Boson-and Composite Fermion-Dynamics.
• 5 Bound State Calculations.
• 5.1 Introduction.
• 5.2 Covariant Bound State Equations.
• 5.3 Vector Boson States.
• 5.4 Four-Fermion Bound States.
• 5.5 Dressed Fermion States.
• 5.6 Metric of Dressed Fermion States.
• 6 Effective Yang-Mills Dynamics.
• 6.1 Introduction.
• 6.2 Effective Boson-Fermion Dynamics.
• 6.3 Boson States and Dual States.
• 6.4 Evaluation of the Map.
• 6.5 Quantum Properties of Mapped Fields.
• 6.6 Effective Boson-Fermion Lagrangian.
• 7 Fermions and Gravitation.
• 7.1 Introduction.
• 7.2 Anholonomic Spinor Connections.
• 7.3 Weak Mapping with Gravitons.
• 7.4 Graviton States.
• 7.5 Dressed Fermion State Calculations.
• 7.6 Fermion-Graviton Coupling.
• 8 WeakMapping and Gauge Fields.
• 8.1 Introduction.
• 8.2 Spinor Electrodynamics in Coulomb Gauge.
• 8.3 Quantization of Spinor Electrodynamics..
• 8.4 Composite Particle Dynamics.
• 8.5 Nonabelian Quantum Fields in Temporal Gauge.
• 9 Superconductivity and Higgs Fields.
• 9.1 Introduction.
• 9.2 Selfconsistent Propagators and States.
• 9.3 Spectrum of Bound States.
• 9.4 Ginzburg-Landau Equation.
• 9.5 Electrical Resistance.
• 9.6 Thermostates and Weak Mapping.
• 10 Path Integrals and Effective Theories.
• 10.1 Introduction.
• 10.2 Functional Perturbation Theory and Path Integrals.
• 10.3 HadronizationofQCD.
• 10.4 Composite Particles and Field Operator Products.
• 10.5 Evaluation of Fermion Determinants.
• 10.6 Conclusions.
• 11 Fock Space Mappings.
• 11.1 Introduction.
• 11.2 Ideal and Physical Boson Spaces.
• 11.3 Usui Mappings.
• 11.4 Boson Mapping and Effective Dynamics.