### Volume I: From Relativistic Quantum Mechanics to QED, Third Edition

### Volume I: From Relativistic Quantum Mechanics to QED, Third Edition

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Gauge Theories in Particle Physics, Volume 1: From Relativistic Quantum Mechanics to QED, Third Edition presents an accessible, practical, and comprehensive introduction to the three gauge theories of the standard model of particle physics: quantum electrodynamics (QED), quantum chromodynamics (QCD), and the electroweak theory. For each of them, the authors provide a thorough discussion of the main conceptual points, a detailed exposition of many practical calculations of physical quantities, and a comparison of these quantitative predictions with experimental results.

For this two-volume third edition, much of the book has been rewritten to reflect developments over the last decade, both in the curricula of university courses and in particle physics research. Substantial new material has been introduced that is intended for use in undergraduate physics courses. New introductory chapters provide a precise historical account of the properties of quarks and leptons, and a qualitative overview of the quantum field description of their interactions, at a level appropriate to third year courses. The chapter on relativistic quantum mechanics has been enlarged and is supplemented by additional sections on scattering theory and Green functions, in a form appropriate to fourth year courses. Since precision experiments now test the theories beyond lowest order in perturbation theory, an understanding of the data requires a more sophisticated knowledge of quantum field theory, including ideas of renormalization. The treatment of quantum field theory has therefore been considerably extended so as to provide a uniquely accessible and self-contained introduction to quantum field dynamics, as described by Feynman graphs. The level is suitable for advanced fourth year undergraduates and first year graduates.

These developments are all contained in the first volume, which ends with a discussion of higher order corrections in QED; the second volume is devoted to the non-Abelian gauge theories of QCD and the electroweak theory. As in the first two editions, emphasis is placed throughout on developing realistic calculations from a secure physical and conceptual basis.

INTRODUCTORY SURVEY, ELECTROMAGNETISM AS A GAUGE THEORY, AND RELATIVISTIC QUANTUM MECHANICS

Quarks and Leptons

Particle Interactions in the Standard Mode

Electromagnetism as a Gauge Theory

Relativistic Quantum Mechanics

INTRODUCTION TO QUANTUM FIELD THEORY

Quantum Field Theory I

Quantum Field Theory II: Interacting Scalar Fields

Quantum Field Theory III: Complex Scalar Fields, Dirac and Maxwell Fields

Introduction of Electromagnetism

TREE-LEVEL APPLICATIONS IN QED

Elementary Processes in Scalara and Spinor Electrodynamics

Deep Inelastic Electron-Nucleon Scattering and the Quark Parton Model

LOOPS AND RENORMALIZATION

Higher Order Processes and Renormalisation I: The ABC Theory

Loops and Renormalization II: QED

Appendix A: Non-Relativistic Quantum Mechanics

Appendix B: Natural Units

Appendix C: Maxwell's Equations: Choice of Units

Appendix D: Special Relativity: Invariance and Covariance

Appendix E: Dirac Function

Appendix F: Contour Integration

Appendix G: Green Functions

Appendix H: Elements of Non-Relativistic Scattering Theory

Appendix I: The Schrödinger and Heisenberg Pictures

Appendix J: Dirac Algebra and Trace Identities

Appendix K: Example of a Cross Section Calculation

Appendix L: Feynman Rules for Tree Graphs in QED

References

Index

Gauge Theories in Particle Physics, Volume 1: From Relativistic Quantum Mechanics to QED, Third Edition presents an accessible, practical, and comprehensive introduction to the three gauge theories of the standard model of particle physics: quantum electrodynamics (QED), quantum chromodynamics (QCD), and the electroweak theory. For each of them, the authors provide a thorough discussion of the main conceptual points, a detailed exposition of many practical calculations of physical quantities, and a comparison of these quantitative predictions with experimental results.

For this two-volume third edition, much of the book has been rewritten to reflect developments over the last decade, both in the curricula of university courses and in particle physics research. Substantial new material has been introduced that is intended for use in undergraduate physics courses. New introductory chapters provide a precise historical account of the properties of quarks and leptons, and a qualitative overview of the quantum field description of their interactions, at a level appropriate to third year courses. The chapter on relativistic quantum mechanics has been enlarged and is supplemented by additional sections on scattering theory and Green functions, in a form appropriate to fourth year courses. Since precision experiments now test the theories beyond lowest order in perturbation theory, an understanding of the data requires a more sophisticated knowledge of quantum field theory, including ideas of renormalization. The treatment of quantum field theory has therefore been considerably extended so as to provide a uniquely accessible and self-contained introduction to quantum field dynamics, as described by Feynman graphs. The level is suitable for advanced fourth year undergraduates and first year graduates.

These developments are all contained in the first volume, which ends with a discussion of higher order corrections in QED; the second volume is devoted to the non-Abelian gauge theories of QCD and the electroweak theory. As in the first two editions, emphasis is placed throughout on developing realistic calculations from a secure physical and conceptual basis.

INTRODUCTORY SURVEY, ELECTROMAGNETISM AS A GAUGE THEORY, AND RELATIVISTIC QUANTUM MECHANICS

Quarks and Leptons

Particle Interactions in the Standard Mode

Electromagnetism as a Gauge Theory

Relativistic Quantum Mechanics

INTRODUCTION TO QUANTUM FIELD THEORY

Quantum Field Theory I

Quantum Field Theory II: Interacting Scalar Fields

Quantum Field Theory III: Complex Scalar Fields, Dirac and Maxwell Fields

Introduction of Electromagnetism

TREE-LEVEL APPLICATIONS IN QED

Elementary Processes in Scalara and Spinor Electrodynamics

Deep Inelastic Electron-Nucleon Scattering and the Quark Parton Model

LOOPS AND RENORMALIZATION

Higher Order Processes and Renormalisation I: The ABC Theory

Loops and Renormalization II: QED

Appendix A: Non-Relativistic Quantum Mechanics

Appendix B: Natural Units

Appendix C: Maxwell's Equations: Choice of Units

Appendix D: Special Relativity: Invariance and Covariance

Appendix E: Dirac Function

Appendix F: Contour Integration

Appendix G: Green Functions

Appendix H: Elements of Non-Relativistic Scattering Theory

Appendix I: The Schrödinger and Heisenberg Pictures

Appendix J: Dirac Algebra and Trace Identities

Appendix K: Example of a Cross Section Calculation

Appendix L: Feynman Rules for Tree Graphs in QED

References

Index

Gauge Theories in Particle Physics, Volume 1: From Relativistic Quantum Mechanics to QED, Third Edition presents an accessible, practical, and comprehensive introduction to the three gauge theories of the standard model of particle physics: quantum electrodynamics (QED), quantum chromodynamics (QCD), and the electroweak theory. For each of them, the authors provide a thorough discussion of the main conceptual points, a detailed exposition of many practical calculations of physical quantities, and a comparison of these quantitative predictions with experimental results.

For this two-volume third edition, much of the book has been rewritten to reflect developments over the last decade, both in the curricula of university courses and in particle physics research. Substantial new material has been introduced that is intended for use in undergraduate physics courses. New introductory chapters provide a precise historical account of the properties of quarks and leptons, and a qualitative overview of the quantum field description of their interactions, at a level appropriate to third year courses. The chapter on relativistic quantum mechanics has been enlarged and is supplemented by additional sections on scattering theory and Green functions, in a form appropriate to fourth year courses. Since precision experiments now test the theories beyond lowest order in perturbation theory, an understanding of the data requires a more sophisticated knowledge of quantum field theory, including ideas of renormalization. The treatment of quantum field theory has therefore been considerably extended so as to provide a uniquely accessible and self-contained introduction to quantum field dynamics, as described by Feynman graphs. The level is suitable for advanced fourth year undergraduates and first year graduates.

These developments are all contained in the first volume, which ends with a discussion of higher order corrections in QED; the second volume is devoted to the non-Abelian gauge theories of QCD and the electroweak theory. As in the first two editions, emphasis is placed throughout on developing realistic calculations from a secure physical and conceptual basis.

INTRODUCTORY SURVEY, ELECTROMAGNETISM AS A GAUGE THEORY, AND RELATIVISTIC QUANTUM MECHANICS

Quarks and Leptons

Particle Interactions in the Standard Mode

Electromagnetism as a Gauge Theory

Relativistic Quantum Mechanics

INTRODUCTION TO QUANTUM FIELD THEORY

Quantum Field Theory I

Quantum Field Theory II: Interacting Scalar Fields

Quantum Field Theory III: Complex Scalar Fields, Dirac and Maxwell Fields

Introduction of Electromagnetism

TREE-LEVEL APPLICATIONS IN QED

Elementary Processes in Scalara and Spinor Electrodynamics

Deep Inelastic Electron-Nucleon Scattering and the Quark Parton Model

LOOPS AND RENORMALIZATION

Higher Order Processes and Renormalisation I: The ABC Theory

Loops and Renormalization II: QED

Appendix A: Non-Relativistic Quantum Mechanics

Appendix B: Natural Units

Appendix C: Maxwell's Equations: Choice of Units

Appendix D: Special Relativity: Invariance and Covariance

Appendix E: Dirac Function

Appendix F: Contour Integration

Appendix G: Green Functions

Appendix H: Elements of Non-Relativistic Scattering Theory

Appendix I: The Schrödinger and Heisenberg Pictures

Appendix J: Dirac Algebra and Trace Identities

Appendix K: Example of a Cross Section Calculation

Appendix L: Feynman Rules for Tree Graphs in QED

References

Index

INTRODUCTORY SURVEY, ELECTROMAGNETISM AS A GAUGE THEORY, AND RELATIVISTIC QUANTUM MECHANICS

Quarks and Leptons

Particle Interactions in the Standard Mode

Electromagnetism as a Gauge Theory

Relativistic Quantum Mechanics

INTRODUCTION TO QUANTUM FIELD THEORY

Quantum Field Theory I

Quantum Field Theory II: Interacting Scalar Fields

Quantum Field Theory III: Complex Scalar Fields, Dirac and Maxwell Fields

Introduction of Electromagnetism

TREE-LEVEL APPLICATIONS IN QED

Elementary Processes in Scalara and Spinor Electrodynamics

Deep Inelastic Electron-Nucleon Scattering and the Quark Parton Model

LOOPS AND RENORMALIZATION

Higher Order Processes and Renormalisation I: The ABC Theory

Loops and Renormalization II: QED

Appendix A: Non-Relativistic Quantum Mechanics

Appendix B: Natural Units

Appendix C: Maxwell's Equations: Choice of Units

Appendix D: Special Relativity: Invariance and Covariance

Appendix E: Dirac Function

Appendix F: Contour Integration

Appendix G: Green Functions

Appendix H: Elements of Non-Relativistic Scattering Theory

Appendix I: The Schrödinger and Heisenberg Pictures

Appendix J: Dirac Algebra and Trace Identities

Appendix K: Example of a Cross Section Calculation

Appendix L: Feynman Rules for Tree Graphs in QED

References

Index

INTRODUCTORY SURVEY, ELECTROMAGNETISM AS A GAUGE THEORY, AND RELATIVISTIC QUANTUM MECHANICS

Quarks and Leptons

Particle Interactions in the Standard Mode

Electromagnetism as a Gauge Theory

Relativistic Quantum Mechanics

INTRODUCTION TO QUANTUM FIELD THEORY

Quantum Field Theory I

Quantum Field Theory II: Interacting Scalar Fields

Quantum Field Theory III: Complex Scalar Fields, Dirac and Maxwell Fields

Introduction of Electromagnetism

TREE-LEVEL APPLICATIONS IN QED

Elementary Processes in Scalara and Spinor Electrodynamics

Deep Inelastic Electron-Nucleon Scattering and the Quark Parton Model

LOOPS AND RENORMALIZATION

Higher Order Processes and Renormalisation I: The ABC Theory

Loops and Renormalization II: QED

Appendix A: Non-Relativistic Quantum Mechanics

Appendix B: Natural Units

Appendix C: Maxwell's Equations: Choice of Units

Appendix D: Special Relativity: Invariance and Covariance

Appendix E: Dirac Function

Appendix F: Contour Integration

Appendix G: Green Functions

Appendix H: Elements of Non-Relativistic Scattering Theory

Appendix I: The Schrödinger and Heisenberg Pictures

Appendix J: Dirac Algebra and Trace Identities

Appendix K: Example of a Cross Section Calculation

Appendix L: Feynman Rules for Tree Graphs in QED

References

Index

INTRODUCTORY SURVEY, ELECTROMAGNETISM AS A GAUGE THEORY, AND RELATIVISTIC QUANTUM MECHANICS

Quarks and Leptons

Particle Interactions in the Standard Mode

Electromagnetism as a Gauge Theory

Relativistic Quantum Mechanics

INTRODUCTION TO QUANTUM FIELD THEORY

Quantum Field Theory I

Quantum Field Theory II: Interacting Scalar Fields

Quantum Field Theory III: Complex Scalar Fields, Dirac and Maxwell Fields

Introduction of Electromagnetism

TREE-LEVEL APPLICATIONS IN QED

Elementary Processes in Scalara and Spinor Electrodynamics

Deep Inelastic Electron-Nucleon Scattering and the Quark Parton Model

LOOPS AND RENORMALIZATION

Higher Order Processes and Renormalisation I: The ABC Theory

Loops and Renormalization II: QED

Appendix A: Non-Relativistic Quantum Mechanics

Appendix B: Natural Units

Appendix C: Maxwell's Equations: Choice of Units

Appendix D: Special Relativity: Invariance and Covariance

Appendix E: Dirac Function

Appendix F: Contour Integration

Appendix G: Green Functions

Appendix H: Elements of Non-Relativistic Scattering Theory

Appendix I: The Schrödinger and Heisenberg Pictures

Appendix J: Dirac Algebra and Trace Identities

Appendix K: Example of a Cross Section Calculation

Appendix L: Feynman Rules for Tree Graphs in QED

References

Index