| Preface Chapter 0. The Principle of the Fermionic Projector - A New Mathematica Model of Space-Time Chapter 1. Preliminaries 1.1. Relativity 1.2. Relativistic Quantum Mechanics 1.3. Fock Space Quantization of the Free Dirac Field 1.4. Classical Gauge Theories 1.5. Dirae Spinors in Curved Space-Time Chapter 2. The Fermionic Projector in the Continuum 2.1. The External Field Problem 2.2. The Causal Perturbation Expansion 2.3. Definition of the Fermionic Projector 2.4. Interpretation and Consequences 2.5. The Light-Cone Expansion 2.6. Normalization of the Fermionic States Chapter 3. The Principle of the Fermionic Projector 3.1. Connection between Local Gauge Freedom and the Measurability of Position and Time 3.2. Projection on Fermionic States 3.3. Discretization of Space-Time 3.4. The Principle of the Fermionic Projector 3.5. A Variational Principle 3.6. Discussion Chapter 4. The Continuum Limit 4.1. The Method of Variable Regularization 4.2. The Regularized Product P(x,y) P(y, x) in the Vacuum 4.3. The Regularized Vacuum on the Light Cone, Scalar Component 4.4. The Regularized Vacuum on the Light Cone, Vector Component 4.5. The General Formalism Chapter 5. The Euler-Lagrange Equations in the Vacuum 5.1. The Fermion Configuration of the Standard Model 5.2. The General Two-Point Action 5.3. The Spectral Decomposition of P(x, y) P(y,x) 5.4. Strong Spectral Analysis of the Euler-Lagrange Equations 5.5. Motivation of the Lagrangian, the Mass Degeneracy Assumption 5.6. Stability of the Vacuum Chapter 6. The Dynamical Gauge Group 6.1. The Euler-Lagrange Equations to Highest Degree on the Light Cone 6.2. The Gauge Terms in the Euler-Lagrange Equations Chapter 7. Spontaneous Block Formation 7.1. The Partial Trace and the Dynamical Mass Matrices 7.2. Analysis of Degeneracies 7.3. The Dynamical Mass Matrices in the Quark and Neutrino Blocks Chapter 8. The Effective Gauge Group 8.1. The Chiral Transformation in the Quark Blocks 8.2. The Chiral Transformation in the Lepton Block 8.3. Derivation of the Effective Gauge Group Appendix A. Connection to the Fock Space Formalism Appendix B. Some Formulas of the Light-Cone Expansion Appendix C. Normalization of Chiral Fermions C.1. Massive Chiral Fermions - Preparatory Discussion C.2. The Homogeneous Perturbation Expansion C.3. The General Construction, Proof of Idempotence Appendix D. The Regularized Causal Perturbation Theory Appendix E. Linear Independence of the Basic Fractions Appendix F. The Commutator [P, Q] Appendix G. Perturbation Calculation for the Spectral Decomposition of P(x, y) P(y, x) G.1. Perturbation of Invariant Subspaces G.2. Factorization of Matrix Traces G.3. Calculation of the Matrix Traces G.4. Perturbation of the Non-Zero Eigenvalues G.5. Perturbation of the Kernel Bibliography Index Notation Index |
内容加载中，请稍后...
商品评论（0条）