Introduction to the Classical Theory of Particles and Fields [Paperback]

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.

Geometry of Minkowski Space.- Relativistic Mechanics.- Electromagnetic Field.- Solutions to Maxwell's Equations.- Lagrangian Formalism in Electrodynamics.- Self-Interaction in Electrodynamics.- Lagrangian Formalism for Gauge Theories.- Solutions to the Yang?Mills Equations.- Self-Interaction in Gauge Theories.- Generalizations.- Mathematical Appendices.

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 inlă•