Composite Particle Dynamics in Quantum Field Theory

ISBN-13: 9783528064983 / Niemiecki / Miękka / 1994 / 274 str.

Harald Stumpf; Thomas Borne

Opis

This text is aimed at physics students from the 5th semester onwards. Quantum field theory can be formulated and characterized by functional equations in contrast to strict depictions of quantum field theory.

Spis treści

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 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.