Warren Siegel - Quantum Field Theory - Introduction to String Field Theory.pdf

arXiv:hep-th/0107094 v1 11 Jul 2001
/˜siegel/ Brook Stony York, New mailto:******@ of University State address: Present
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CONTENTS
Preface 6. Classical mechanics
1. Introduction . Gauge covariant 120
. Motivation 1 . Conformal gauge 122
. Known models (interacting) 3 . Light cone 125
. Aspects 4 Exercises 127
. Outline 6 7. Light-cone quantum mechanics
2. General light cone . Bosonic 128
. Actions 8 . Spinning 134
. Conformal algebra 10 . Supersymmetric 137
. Poincar´ealgebra 13 Exercises 145
. Interactions 16 8. BRST quantum mechanics
. Graphs 19 . IGL(1) 146
. Covariantized light cone 20 . OSp(1,1 2) 157
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Exercises 23 . Lorentz gauge 160
3. General BRST Exercises 170
. Gauge invariance and 9. Graphs
constraints 25 . External fields 171
. IGL(1) 29 . Trees 177
. OSp(1,1 2) 35 . Loops 190
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. From the light cone 38 Exercises 196
. Fermions 45 10. Light-cone field theory 197
. More dimensions 46 Exercises 203
Exercises 51 11. BRST field theory
4. General gauge theories . Closed strings 204
. OSp(1,1 2) 52 . Components 207
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. IGL(1) 62 Exercises 214
. Extra modes 67 12. Gauge-invariant interactions
. Gauge fixing 68 . Introduction 215
. Fermions 75 . Midpoint interaction 217
Exercises 79 Exercises 228
5. Particle References 230
. Bosonic 81 Index 241
. BRST 84
. Spinning 86
. Supersymmetric 95
. SuperBRST 110
Exercises 118
PREFACE
First, I’d like to explain the title of this book. I always hated books whose titles
began “Introduction to...” In particular, when I was a grad student, books titled
“Introduction to Quantum Field Theory” were the most difficult and advanced t