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Preface | |
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Notation and Conventions | |
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Problems | |
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Review of Perturbative Field Theory | |
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Creation and Annihilation Operators | |
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Lagrangian Field Theory | |
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The Hermitian Scalar Field | |
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The Lagrangian and Equations of Motion | |
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The Free Hermitian Scalar Field | |
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The Feynman Rules | |
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Kinematics and the Mandelstam Variables | |
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The Cross Section and Decay Rate Formulae | |
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Loop Effects | |
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The Complex Scalar Field | |
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U(1) Phase Symmetry and the Noether Theorem | |
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Electromagnetic and Vector Fields | |
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Massive Neutral Vector Field | |
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Electromagnetic Interaction of Charged Pions | |
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The Dirac Field | |
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The Free Dirac Field | |
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Dirac Matrices and Spinors | |
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QED for Electrons and Positrons | |
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Spin Effects and Spinor Calculations | |
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The Discrete Symmetries P, C, CP, T, and CPT | |
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Two-Component Notation and Independent Fields | |
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Quantum Electrodynamics (QED) | |
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Higher-Order Effects | |
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The Running Coupling | |
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Tests of QED | |
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The Role of the Strong Interactions | |
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Mass and Kinetic Mixing | |
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Problems | |
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Lie Groups, Lie Algebras, and Symmetries | |
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Basic Concepts | |
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Groups and Representations | |
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Examples of Lie Groups | |
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More on Representations and Groups | |
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Global Symmetries in Field Theory | |
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Transformation of Fields and States | |
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Invariance (Symmetry) and the Noether Theorem | |
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Isospin and SU(3) Symmetries | |
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Chiral Symmetries | |
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Discrete Symmetries | |
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Symmetry Breaking and Realization | |
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A Single Hermitian Scalar | |
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A Digression on Topological Defects | |
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A Complex Scalar: Explicit and Spontaneous Symmetry Breaking | |
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Spontaneously Broken Chiral Symmetry | |
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Field Redefinition | |
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The Nambu-Goldstone Theorem | |
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Boundedness of the Potential | |
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Example: Two Complex Scalars | |
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Problems | |
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Gauge Theories | |
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The Abelian Case | |
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Non-Abelian Gauge Theories | |
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The Higgs Mechanism | |
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The R<sup>�</sup> Gauges | |
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Anomalies | |
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Problems | |
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The Strong Interactions and QCD | |
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The QCD Lagrangian | |
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Evidence for QCD | |
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Simple QCD Processes | |
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The Running Coupling in Non-Abelian Theories | |
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The RGE Equations for an Arbitrary Gauge Theory | |
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Deep Inelastic Scattering | |
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Deep Inelastic Kinematics | |
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The Cross Section and Structure Functions | |
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The Simple Quark Parton Model (SPM) | |
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Corrections to the Simple Parton Model | |
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Other Short Distance Processes | |
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The Strong Interactions at Long Distances | |
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The Symmetries of QCD | |
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Continuous Flavor Symmetries | |
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The (3*, 3) + (3,3*) Model | |
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The Axial U(1) Problem | |
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The Linear � Model | |
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The Nonlinear � Model | |
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Other Topics | |
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Problems | |
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The Weak Interactions | |
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Origins of the Weak Interactions | |
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The Fermi Theory of Charged Current Weak Interactions | |
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� Decay | |
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ve<sub>e</sub>-�vee- | |
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� and K Decays | |
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Nonrenormalization of Charge and the Ademollo-Gatto Theorem | |
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� Decay | |
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Hyperon Decays | |
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Heavy Quark and Lepton Decays | |
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Problems | |
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The Standard Electroweak Theory | |
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The Standard Model Lagrangian | |
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Spontaneous Symmetry Breaking | |
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The Higgs Mechanism | |
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The Lagrangian in Unitary Gauge after SSB | |
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Effective Theories | |
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The R� Gauges | |
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The Z, the W, and the Weak Neutral Current | |
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Purely Weak Processes | |
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Weak-Electromagnetic Interference | |
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Implications of the WNC Experiments | |
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Precision Tests of the Standard Model | |
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The Z-Pole and Above | |
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Implications of the Precision Program | |
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Gauge Self-Interactions | |
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The Higgs | |
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Theoretical Constraints | |
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Experimental Constraints and Prospects | |
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The CKM Matrix and CP Violation | |
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The CKM Matrix | |
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CP Violation and the Unitarity Triangle | |
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The Neutral Kaon System | |
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Mixing and CP Violation in the B System | |
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Time Reversal Violation and Electric Dipole Moments | |
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Flavor Changing Neutral Currents (FCNC) | |
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Neutrino Mass and Mixing | |
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Basic Concepts for Neutrino Mass | |
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The Propagators for Majorana Fermions | |
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Experiments and Observations | |
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Neutrino Oscillations | |
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The Spectrum | |
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Models of Neutrino Mass | |
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Implications of Neutrino Mass | |
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Problems | |
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Beyond the Standard Model | |
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Problems with the Standard Model | |
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Supersymmetry | |
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Implications of Supersymmetry | |
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Formalism | |
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Supersymmetric Interactions | |
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Supersymmetry Breaking and Mediation | |
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The Minimal Supersymmetric Standard Model (MSSM) | |
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Further Aspects of Supersymmetry | |
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Extended Gauge Groups | |
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SU(2) x U(l) x U(l)' Models | |
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SU(2)L x SU(2)R x U(l) Models | |
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Grand Unified Theories (GUTs) | |
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The SU(5) Model | |
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Beyond the Minimal SU(5) Model | |
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Problems | |
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Canonical Commutation Rules | |
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Derivation of a Simple Feynman Diagram | |
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Unitarity, the Partial Wave Expansion and the Optical Theorem | |
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Two, Three, and n-Body Phase Space | |
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Calculation of the Anomalous Magnetic Moment of the Electron | |
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Breit-Wigner Resonances | |
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Implications of P, C, T, and G-parity for Nucleon Matrix Elements | |
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Collider Kinematics | |
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Quantum Mechanical Analogs of Symmetry Breaking | |
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References | |
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Field Theory | |
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The Standard Model and Particle Physics | |
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The Strong Interactions, QCD, and Collider Physics | |
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The Electroweak Interactions | |
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CP Violation | |
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Neutrinos | |
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Supersymmetry, Strings, and Grand Unification | |
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Astrophysics and Cosmology | |
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Groups and Symmetries | |
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Articles | |
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Web Sites | |
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Index | |