Introduction to the Classical Theory of Particles and FieldsThis 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. |
Contents
1 | |
Relativistic Mechanics | 51 |
Electromagnetic Field 123 | 122 |
Solutions to Maxwells Equations | 141 |
Lagrangian Formalism in Electrodynamics | 195 |
SelfInteraction in Electrodynamics | 249 |
Lagrangian Formalism for Gauge Theories | 285 |
Solutions to the YangMills Equations | 307 |
SelfInteraction in Gauge Theories 353 | 352 |
Generalizations | 367 |
Mathematical Appendices | 411 |
448 | |
469 | |
Other editions - View all
Introduction to the Classical Theory of Particles and Fields Boris Kosyakov No preview available - 2010 |
Introduction to the Classical Theory of Particles and Fields Boris Kosyakov No preview available - 2006 |
Common terms and phrases
action algebra arbitrary assume basis becomes called charge charged particle color complex condition conformal conservation Consider constant coordinates corresponding defined derivatives differential dimension direction discussion dressed dynamics electric electrodynamics electromagnetic field element energy equation equation of motion example expression fact factor fixed follows force frame function gauge given gives hence identity implies independent initial integration interaction invariant Lagrangian light linear Lorentz magnetic mass matrix mechanics metric Minkowski moving Note null vector obey observe obtain operator parameters particle particular physical Problem Prove quantity quark radiation reference relation respect result retarded scalar Sect Show single solution space spacelike spacetime special relativity string symmetry tensor term theory timelike transformation unit variables vector potential Verify wave world line Yang–Mills zero
Popular passages
Page 1 - THE views of space and time which I wish to lay before you have sprung from the soil of experimental physics, and therein lies their strength. They are radical. Henceforth space by itself, and time by itself, are doomed to fade away into mere shadows, and only a kind of union of the two will preserve an independent reality.
Page 2 - According to the principle of relativity, the laws of physical phenomena must be the same for a fixed observer as for an observer who has a uniform motion of translation relative to him, so that we have not, nor can we possibly have, any means of discerning whether or not we are carried along in such a motion.
Page 2 - the laws of physical phenomena must be the same for a 'fixed' observer as for an observer who has a uniform motion of translation relative to him : so that we have not, and cannot possibly have, any means of discerning whether we are, or are not, carried along in such a motion.
Page 3 - From this principle he concluded that "there must arise an entirely new kind of dynamics, which will be characterized above all by the rule that no velocity can exceed the velocity of light".