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50 years of Yang-Mills theory

Author: G 't Hooft
Publisher: Hackensack, NJ : World Scientific, 2005.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
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 physics, has expanded widely. It has been investigated from many perspectives, and many new and unexpected features  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
50 years of Yang-Mills theory.
Hackensack, NJ : World Scientific, 2005
(DLC) 2005043322
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: G 't Hooft
ISBN: 9812567143 9789812567147 9789812389343 9812389342 9789812560070 9812560076 1281347833 9781281347831
OCLC Number: 228122834
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 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$1347.
Other Titles: Fifty years of Yang-Mills theory
Responsibility: edited by Gerardus 't Hooft.

Abstract:

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 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 Yang-Mills theory.

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.,." provides an excellent historical survey of the development of Yang-Mills theory, written by those most involved in its creation."

 
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