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 |
References 449 | 448 |
Index | 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 51 - Every body continues in its state of rest, or uniform motion in a straight line, unless it is compelled to change that state by forces impressed on it (inertia).
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 48 - Relativity from these two basic postulates (assumptions), which are rephrased as follows: 1. The laws of physics are the same in all inertial frames.
Page 119 - The mass of a body is a measure of its energy content...
Page 366 - ... .events distinguished by a great disparity in size have little influence on one another; they do not communicate, and so the phenomena associated with each scale can be treated independently.
Page 51 - II. The rate of change of momentum of a particle is proportional to the force acting on it and is in the same direction as the force.
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".