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From the reviews:

"Russian physicist Kosyakov has written an introduction to classical gauge theory for students of high energy or particle physics. … Extensive reference list. A valuable addition to a university library supporting a program in high energy theory; highly mathematical, so most useful as a resource for undergraduate programs. Summing Up: Recommended. Graduate students; professionals." (R. L. Stearns, CHOICE, Vol. 44 (10), June, 2007)

"The classical theory of gauge fields is an important subject that has numerous applications in modern physics. … A nice feature of this book is that this is self contained. All the necessary definitions as well as the technical tools are provided by the author in the main body of the book. … I enjoyed reading the book. … Overall the monograph … can be warmly recommended to any serious student of electrodynamics and gauge theory and to their instructors alike." (Yuri N. Obukhov, Annalen der Physik, Vol. 16 (12), 2007)

"Each chapter contains problems and final notes, a useful guide to the history of the subject. … The volume is intended to be an introduction for advanced undergraduate and graduate students in high energy physics. … We mention that it is timely elaborate a unified view of the classical self-interaction problems in classical gauge theories with particular reference to the electrodynamics of point electrons and Yang-Mills interaction of point quarks. The present work is a valuable contribution to this task." (Petre P. Teodorescu, Zentralblatt MATH, Vol. 1114 (16), 2007)

"This book is an introduction to classical field theory. Although it was designed for advanced undergraduate and graduate students, researchers could also benefit from this book. It is intended for mathematical physicists and theoretical physicists. Classical gauge theories are discussed in detail, with great emphasis on self-interactions. … In summary, this is a useful introduction to classical gauge theories that can be recommended both to students (theoretical or mathematical physics), and to specialists and researchers, as a reference book." (Giuseppe Nardelli, Mathematical Reviews, Issue 2008 c)




This volume is intended as a systematic introduction to gauge field theory for advanced undergraduate and graduate students in high energy physics. The discussion is restricted to the classical (non-quantum) theory in Minkowski spacetime. Particular attention has been given to conceptual aspects of field theory, accurate definitions of basic physical notions, and thorough analysis of exact solutions to the equations of motion for interacting systems.

Two theories covered by the book in great detail are the Maxwell-Lorentz electrodynamics and Yang-Mills-Wong theory.




This volume is intended as a systematic introduction to gauge field theory for advanced undergraduate and graduate students in high energy physics. The discussion is restricted to the classical (non-quantum) theory in Minkowski spacetime. Particular attention has been given to conceptual aspects of field theory, accurate definitions of basic physical notions, and thorough analysis of exact solutions to the equations of motion for interacting systems.

Two theories covered by the book in great detail are the Maxwell-Lorentz electrodynamics and Yang-Mills-Wong theory.


Content:
Front Matter....Pages I-XIII
Geometry of Minkowski Space....Pages 1-50
Relativistic Mechanics....Pages 51-121
Electromagnetic Field....Pages 123-140
Solutions to Maxwell's Equations....Pages 141-193
Lagrangian Formalism in Electrodynamics....Pages 195-248
Self-Interaction in Electrodynamics....Pages 249-284
Lagrangian Formalism for Gauge Theories....Pages 285-306
Solutions to the Yang?Mills Equations....Pages 307-351
Self-Interaction in Gauge Theories....Pages 353-366
Generalizations....Pages 367-409
Mathematical Appendices....Pages 411-447
Back Matter....Pages 449-479


This volume is intended as a systematic introduction to gauge field theory for advanced undergraduate and graduate students in high energy physics. The discussion is restricted to the classical (non-quantum) theory in Minkowski spacetime. Particular attention has been given to conceptual aspects of field theory, accurate definitions of basic physical notions, and thorough analysis of exact solutions to the equations of motion for interacting systems.

Two theories covered by the book in great detail are the Maxwell-Lorentz electrodynamics and Yang-Mills-Wong theory.


Content:
Front Matter....Pages I-XIII
Geometry of Minkowski Space....Pages 1-50
Relativistic Mechanics....Pages 51-121
Electromagnetic Field....Pages 123-140
Solutions to Maxwell's Equations....Pages 141-193
Lagrangian Formalism in Electrodynamics....Pages 195-248
Self-Interaction in Electrodynamics....Pages 249-284
Lagrangian Formalism for Gauge Theories....Pages 285-306
Solutions to the Yang?Mills Equations....Pages 307-351
Self-Interaction in Gauge Theories....Pages 353-366
Generalizations....Pages 367-409
Mathematical Appendices....Pages 411-447
Back Matter....Pages 449-479
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