INTRODUCTION TO THE CLASSICAL THEORY OF PARTICLES AND FIELDS
CONTENTS GEOMETRY OF MINKOWSKI SPACE SPACETIME A?NE AND METRIC STRUCTURES VECTORS, TENSORS, AND N-FORMS LINES AND SURFACES POINCAR´E INVARIANCE WORLD LINES NOTES RELATIVISTIC MECHANICS DYNAMICAL LAW FOR RELATIVISTIC PARTICLES THE MINKOWSKI FORCE INVARIANTS OF THE ELECTROMAGNETIC FIELD MOTION OF A CHARGED PARTICLE IN CONSTANT AND UNIFORM ELECTROMAGNETIC FIELDS THE PRINCIPLE OF LEAST ACTION SYMMETRIES AND CONSERVATION LAWS REPARAMETRIZATION INVARIANCE SPINNING PARTICLE RELATIVISTIC KEPLER PROBLEM A CHARGED PARTICLE DRIVEN BY A MAGNETIC MONOPOLE 210 COLLISIONS AND DECAYS ELECTROMAGNETIC FIELD GEOMETRIC CONTENTS OF MAXWELL’S EQUATIONS PHYSICAL CONTENTS OF MAXWELL’S EQUATIONS OTHER FORMS OF MAXWELL’S EQUATIONS SOLUTIONS TO MAXWELL’S EQUATIONS STATICS SOLUTIONS TO MAXWELL’S EQUATIONS: SOME GENERAL OBSERVATIONS FREE ELECTROMAGNETIC FIELD THE RETARDED GREEN’S FUNCTION COVARIANT RETARDED VARIABLES ELECTROMAGNETIC FIELD GENERATED BY A SINGLE CHARGE MOVING ALONG AN ARBITRARY TIMELIKE WORLD LINE ANOTHER WAY OF LOOKING AT RETARDED SOLUTIONS FIELD DUE TO A MAGNETIC MONOPOLE LAGRANGIAN FORMALISM IN ELECTRODYNAMICS ACTION PRINCIPLE SYMMETRIES AND CONSERVATION LAWS CONFORMAL INVARIANCE DUALITY INVARIANCE GAUGE INVARIANCE STRINGS AND BRANES SELF-INTERACTION IN ELECTRODYNAMICS REARRANGEMENT OF DEGREES OF FREEDOM RADIATION ENERGY-MOMENTUM BALANCE THE LORENTZ–DIRAC EQUATION ALTERNATIVE METHODS OF DERIVING THE EQUATION OF MOTION FOR A DRESSED CHARGED PARTICLE LAGRANGIAN FORMALISM FOR GAUGE THEORIES THE YANG–MILLS–WONG THEORY THE STANDARD MODEL LATTICE FORMULATION OF GAUGE THEORIES SOLUTIONS TO THE YANG–MILLS EQUATIONS THE YANG–MILLS FIELD GENERATED BY A SINGLE QUARK ANSATZ THE YANG–MILLS FIELD GENERATED BY TWO QUARKS THE YANG–MILLS FIELD GENERATED BY N QUARKS STABILITY VORTICES AND MONOPOLES TWO PHASES OF THE SUBNUCLEAR REALM SELF-INTERACTION IN GAUGE THEORIES REARRANGEMENT OF THE YANG–MILLS–WONG THEORY SELF-CONSISTENCY PARADOXES GENERALIZATIONS 101 RIGID PARTICLE 102 DI?ERENT DIMENSIONS 1021 TWO DIMENSIONS 1022 SIX DIMENSIONS 103 IS THE DIMENSION D = 3 INDEED DISTINGUISHED? 104 NONLINEAR ELECTRODYNAMICS 105 NONLOCAL INTERACTIONS 106 ACTION AT A DISTANCE REFERENCES