Composite Particle Dynamics in Quantum Field Theory - Borne, Thomas

. .

Résumé :
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 Schr?dinger 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....

Sommaire:
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 Schr?dinger 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 Weak Mapping 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.