50 years of Yang-Mills theory

50 years of Yang-Mills theory

On the 50th anniversary of Yang-Mills theory, this invaluable volume looks back at the developments and achievements in elementary particle physics that ensued from that beautiful idea. During the last five decades, Yang-Mills theory, which is undeniably the most important cornerstone of theoretical...

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Detalles Bibliográficos
Otros Autores: Hooft, G. 't (-)
Formato: Libro electrónico
Idioma:Inglés
Publicado: Hackensack, NJ : World Scientific 2005.
Colección:EBSCO Academic eBook Collection Complete.
Acceso en línea:Conectar con la versión electrónica
Ver en Universidad de Navarra:https://innopac.unav.es/record=b31787514*spi
Tabla de Contenidos:
  • Cover
  • CONTENTS
  • Preface
  • Introduction
  • Chapter 1 Gauge Invariance and Interactions; Remembering Robert Mills
  • Quantizing Gauge Field Theories
  • Chapter 2 The Space of Gauge Fields: Its Structure and Geometry
  • Introduction
  • References
  • Ghosts for Physicists
  • PREFACE
  • Chapter 3 Perturbation Theory for Gauge-Invariant Fields
  • 1. Introduction
  • 2. Quantization by Path Integral
  • 3. Quantum Electrodynamics
  • 4. The YangMills Fields
  • 5. The Theory of Gravitation
  • References
  • Breaking the Symmetry
  • Chapter 4 Broken Symmetry and YangMills Theory
  • 1. Introduction
  • 2. Spontaneous Broken Global Symmetry
  • 3. The Asymmetric YangMills Phase
  • 4. The Unification Paradigm
  • 5. Further Developments: Conceptual Issues
  • Acknowledgments
  • References
  • Towards the Standard Model
  • Chapter 5 The Making of the Standard Model
  • References
  • Renormalization
  • Chapter 6 Renormalization
  • 1. An Introduction
  • References
  • Chapter 7 From Koszul Complexes to Gauge Fixing
  • 1. Introduction
  • 2. The Free Maxwell Field
  • 3. Free Massive Antisymmetric Tensor Fields
  • 4. Conclusion and Outlook
  • Appendix A: Vector Spaces Subspaces Quotient Spaces and Their Graded Symmetric Tensor Algebras
  • Appendix B
  • Acknowledgements
  • References
  • Chapter 8 The Renormalization Content of SlavnovTaylor Identities
  • 1. Introduction
  • 2. The Model
  • 3. The Renormalization Conditions
  • 4. Conclusions
  • Acknowledgments
  • References
  • Anomalies
  • Chapter 9 Anomalies to All Orders
  • 1. Introduction
  • 2. Non-Renormalization of the Chiral Anomaly
  • 3. Trace Anomalies and Their All Orders Calculation
  • 4. Epilogue: Chiral and Trace Anomalies in Supersymmetric YangMills Theories
  • Acknowledgements
  • Appendix A. Some Details of the Zumino and Schwinger Calculations
  • References
  • Chapter 10 Fifty Years of YangMills Theory and Our Moments of Triumph
  • 1. Gauge Theory and Quantum Anomalies
  • 2. Mathematical Connections
  • 3. Gauge Field Dynamics Other than YangMills
  • 4. Gauge Formalism for General Relativity Variables
  • References
  • Asymptotic Freedom
  • Chapter 11 YangMills Theory In, Beyond, and Behind Observed Reality
  • 1. YangMills Theory, Directly in the Phenomena
  • 2. From Running Coupling to Quantitative Unification to Supersymmetry
  • 3. From Dark Momentum to Gluonization to Higgs and Dark Matter
  • 4. From Asymptotic Simplicity to Quark-Gluon Plasma to Quark-Hadron Continuity
  • 5. Consistency, Minimalism, Explanatory Method
  • References
  • Magnetic Monopoles
  • Chapter 12 To Be Or Not to Be?
  • 1. Introduction
  • 2. Monopoles in YangMillsHiggs Theories
  • 3. Charge Quantization in Non-Abelian Theories
  • 4. Cheshire Charge and Core Instabilities
  • 5. Physics from Moduli Space
  • 6. Supersymmetric Monopoles
  • 7. Beyond SU(2): Gauge Groups and Integrable Systems
  • Conclusions and Outlook
  • Acknowledgements
  • References
  • Quark Confinement and Strings
  • Chapter 13 Confinement and Liberation
  • References
  • Fixing in Gauge Condition Non-Perturbatively
  • Chapter 14 Non-Perturbative Aspects of Gauge Fixing Pierre van Baal
  • 1. Introduction
  • T

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