INTRODUCTION TO QUANTUM FIELD THEORY

Table of Contents

   Chapter 1. Special Relativity and Quantum Mechanics............   1
    1.1 Particles and Fields  ....................................................   1
    1.2 Review of Special Relativity ...........................................  24
    1.3 Review of Quantum Mechanics ............................................  55

   Chapter 2. Lagrangian Quantum Field Theory.......................  80
    2.1 General Formalism.......................................................  80
         Canonical Quantization.................................................  84
         Noether's Theorem......................................................  90
    2.2 The Spin Zero Scalar Field.............................................. 106
         Covariant Commutators and Singular Functions........................... 123
         VEV's of Field Operators............................................... 130
         Wick's theorem......................................................... 131
         Time Ordered Products of Operators..................................... 136
         Wick's Theorem for Time Ordered Functions.............................. 142
    2.3 The Spin 1/2 Fermion Field.............................................. 154
         Plane Wave Solutions to the Dirac Equation and Fock Space.............. 168
         Covariant Anti-Commutators and Singular Functions...................... 191
         VEV's of Field Operators............................................... 194
         Time Ordered Products of Operators..................................... 196
         Wick's Theorem......................................................... 199
    2.4 Massless Spin One Particles: Photons.................................... 206
         Stueckelberg Gauge..................................................... 216
         Feynman Gauge and Indefinite Metric Space.............................. 232
         Gupta-Bleuler Subsidiary Condition--The Physical Subspace.............. 244
         Covariant Commutators, VEV's and Time Ordered Functions................ 250