The standard model and beyond

書誌事項

The standard model and beyond

Paul Langacker

(Studies in high energy physics, cosmology and gravitation)

CRC Press, c2010

  • : hard

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注記

Includes bibliographical references (p. 577-630) and index

内容説明・目次

内容説明

The Standard Model and Beyond presents an advanced introduction to the physics and formalism of the standard model and other non-abelian gauge theories. It provides a solid background for understanding supersymmetry, string theory, extra dimensions, dynamical symmetry breaking, and cosmology. The book first reviews calculational techniques in field theory and the status of quantum electrodynamics. It then focuses on global and local symmetries and the construction of non-abelian gauge theories, before explaining the structure and tests of quantum chromodynamics. The book also describes the electroweak interactions and theory, including neutrino masses. The final chapter discusses the motivations for extending the standard model and examines supersymmetry, extended gauge groups, and grand unification. Thoroughly covering gauge field theories, symmetries, and topics beyond the standard model, this text equips readers with the tools to understand the structure and phenomenological consequences of the standard model, to construct extensions, and to perform calculations at tree level. It establishes the necessary background for readers to carry out more advanced research in particle physics. Supplementary materials are provided on the author's website and a solutions manual is available for qualifying instructors.

目次

Notation and Conventions Review of Perturbative Field Theory Creation and Annihilation Operators Lagrangian Field Theory The Hermitian Scalar Field The Complex Scalar Field Electromagnetic and Vector Fields Electromagnetic Interaction of Charged Pions The Dirac Field Quantum Electrodynamics (QED) for Electrons and Positrons Spin Effects and Spinor Calculations The Discrete Symmetries P, C, CP, T, and CPT Two-Component Notation and Independent Fields QED Mass and Kinetic Mixing Lie Groups, Lie Algebras, and Symmetries Basic Concepts Global Symmetries in Field Theory Symmetry Breaking and Realization Gauge Theories The Abelian Case Non-Abelian Gauge Theories The Higgs Mechanism The R Gauges Anomalies The Strong Interactions and Quantum Chromodynamics (QCD) The QCD Lagrangian Evidence for QCD Simple QCD Processes The Running Coupling in Non-Abelian Theories Deep Inelastic Scattering Other Short Distance Processes The Strong Interactions at Long Distances The Symmetries of QCD Other Topics The Weak Interactions Origins of the Weak Interactions The Fermi Theory of Charged Current Weak Interactions The Standard Electroweak Theory The Standard Model Lagrangian Spontaneous Symmetry Breaking The Z, the W, and the Weak Neutral Current Gauge Self-Interactions The Higgs The CKM Matrix and CP Violation Neutrino Mass and Mixing Beyond the Standard Model Problems with the Standard Model Supersymmetry Extended Gauge Groups Grand Unified Theories (GUTs) Appendix A: Canonical Commutation Rules Appendix B: Derivation of a Simple Feynman Diagram Appendix C: Unitarity, the Partial Wave Expansion, and the Optical Theorem Appendix D: Two, Three, and n-Body Phase Space Appendix E: Calculation of the Anomalous Magnetic Moment of the Electron Appendix F: Breit-Wigner Resonances Appendix G: Implications of P, C, T, and G-parity for Nucleon Matrix Elements Appendix H: Collider Kinematics Appendix I: Quantum Mechanical Analogs of Symmetry Breaking References Websites Index Problems appear at the end of each chapter.

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