Preface
Author's Preface to the English Edition
Translator's Preface
Nomenclature
Part I Introduction: States of Elementary Particles
Chapter 1. Elements of Relativistic Quantum Theory
§ 1.1. Homogeneity of Space-time and the Poincare Group
§ 1.2. Quantum Mechanics and Relativity
§ 1.3. Basis Quantities
§ 1.4. Description of Scattering. The S-matrix
Chapter 2. Foundations of Phenomenological Description
§ 2.1. Interactions and Internal Symmetry
§ 2.2. Symmetry and Particle Classification
§ 2.3. Unstable Particles
Part II Relativistic Kinematics and Reflections
Chapter 3. The Lorentz Group and the Group SL(2,c)
§ 3.1. Second-order Unimodular Matrices and the Lorentz Transformation
§ 3.2. Spinors
§ 3.3. Irreducible Representations and Generalized Spinor Analysis
§ 3.4. Direct Products of Representations and Covariant Clebsch-Gordan Coefficients
§ 3.5. Representations of the Unitary Group SU2
Chapter 4. The Quantum Mechanical Poincare Group
§ 4.1. Introductory Remarks
§ 4.2. Transformations and Momenta. The Little Group and the Wigner Operator
§ 4.3. Unitary Representations. Case m²>0
§ 4.4. Spinor Functions and Quantum Fields for m²>0
§ 4.5. Unitary Representations in the Case m = 0. Equations of Motion
§ 4.6. Multi-particle States
Chapter 5. Wave Functions and Equations of Motion for Particles with Arbitrary Spin
§ 5.1. Wave Functions, Bilinear Hermitian Forms, and Equations of Motion
§ 5.2. The Dirac Equation
§ 5.3. 2(2J+l)-Component Wave Functions for Spin J
§ 5.4. Particles with Spin J = 1
§ 5.5. Rarita-Schwinger Wave Functions
§ 5.6. Bargmann-Wigner Wave Functions
§ 5.7. The Duffin-Kemmer Equation
Chapter 6. Reflections
§ 6.1. Total Reflection Θ, or CPT
§ 6.2. The operations P, C, and Τ
§ 6.3. Reflections and Interactions. Decays
§ 6.4. Summary of Formula for Reflection Transformations
Chapter 7. The Scattering Matrix. Kinematics
§ 7.1. The Problem of Kinematics
§ 7.2. The Variables s, t, u
§ 7.3. Cross-sections for Processes. Unitarity and Optical Theorem
§ 7.4. Helicity Amplitudes
§ 7.5. Spinor Amplitudes (m-functions) and Invariant Amplitudes
Part III Internal Symmetry
Chapter 8. Bospin Symmetry
§ 8.1. Isospin Multiplets, Hypercharge, and the Group SU2
§ 8.2. Isospin and Reflections. Antiparticle States. G-parity
§ 8.3. Multi-particle Dtates and Isospin Amplitudes. Decays and Relations between Reactions
Chapter 9. The Group SU3
§ 9.1. The Matrices λa and Structure Constants
§ 9.2 The fundamental Representation and Quarks. U- and V-spin
§ 9.3. Representations of the Group SU3
Chapter 10. SUs Symmetry and Classification of Particles and Resonances
§ 10.1. Unitary Representations and Multiplets
§ 10.2. Symmetry Breaking and Mass Splitting
§ 10.3. Relations between Transition Amplitudes
§ 10.4. The Quark Model
§ 10.5. SU6 Multiplets
Part IV Element of Dynamical Theory
Chapter 11. The S-matrix, Currents and Crossing Symmetry
§ 11.1. Interpolating Fields, Currents, and the Reduction Formula
§ 11.2. Crossing Symmetry
§ 11.3. Crossing matrices for SU2 and SU3
§ 11.4. Properties of Vertex Parts
Chapter 12. Analytic Properties of the Scattering Amplitude
§ 12.1. Unitarity and the Absorptive Part
§ 12.2. Maximal Analyticity
§ 12.3. Dispersion Relations
§ 12.4. Partial Wave Amplitudes and Fixed-energy Dispersion Relations. The Gribov-Froissart Formula
§ 12.5. Analytic Properties of Form Factors. The Pion Form Factor
Chapter 13. Asymptotic Behavior of the Scattering Amplitude at High Energies. Regge Poles
§ 13.1. Scattering at High Energies (Experiment)
§ 13.2. Bounds on the Amplitude at High Energies
§ 13.3. The Regge-pole Hypothesis and the aAymptotic Form of the Amplitude
§ 13.4. Simplest Consequences of the Regge-pole Hypothesis. The Diffraction Peak and the Total Cross-section
§ 13.5. Properties of Regge Trajectories
Chapter 14. Duality and the Yeneziano Model
§ 14.1. Finite Energy Sum Rules
§ 14.2. Duality. Duality Diagrams
§ 14.3. The Veneziano Model
§ 14.4. Some Applications of the Veneziano Model
Chapter 15. Electromagnetic and Weak Currents. Current Algebra
§ 15.1. Electromagnetic and Weak Currents
§ 15.2. The Gell-Mann Algebra of Densities and Charges. The Groups SU2XSU2 and SU3XSU3
§ 15.3. Partial Conservation of Axial Current
§ 15.4. Renormalization of the Axial Vector Coupling Constant
§ 15.5. Asymptotic Chiral Symmetry and Spectral Sum Rules
§ 15.6. Violation of CP Invariance
Appendix
References
Index
Other Titles in the Series