Description 
1 online resource (ix, 487 pages) 
Contents 
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 GaugeInvariant 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. NonRenormalization 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 QuarkGluon Plasma to QuarkHadron 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 NonAbelian 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 NonPerturbatively  Chapter 14 NonPerturbative Aspects of Gauge Fixing Pierre van Baal  1. Introduction  T$1347 
Summary 
On the 50th anniversary of YangMills 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, YangMills theory, which is undeniably the most important cornerstone of theoretical physics, has expanded widely. It has been investigated from many perspectives, and many new and unexpected features have been uncovered from this theory. In recent decades, apart from high energy physics, the theory has been actively applied in other branches of physics, such as statistical physics, condensed matter physics, nonlinear systems, etc. This makes the theory an indispensable topic for all who are involved in physics. An international team of experts, each of whom has left his mark on the developments of this remarkable theory, contribute essays or more detailed technical accounts to this volume. These articles highlight the new discoveries from the respective authors' perspectives. The distinguished contributors are: S Adler, P van Baal, F A Bais, C Becchi, M Creutz, A DeRujula, B S DeWitt, F Englert, L D Faddeev, P Hasenfratz, R Jackiw, P van Nieuwenhuizen, A Polyakov, R Stora, S Weinberg, F Wilczek, E Witten, C N Yang. Included in each article are introductory and explanatory remarks by the editor, G 't Hooft, who is himself a major player in the development of YangMills theory 
Bibliography 
Includes bibliographical references 
Notes 
Print version record 
Subject 
Quantum field theory.


YangMills theory.

Form 
Electronic book

Author 
Hooft, G. 't.

LC no. 
2005043322 
ISBN 
1281347833 

9781281347831 

9789812389343 

9789812560070 (paperback) 

9789812567147 (electronic bk.) 

9812389342 

9812560076 (paperback) 

9812567143 (electronic bk.) 

(paperback) 
