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885 pages, Submitted on 21 Dec 1999 (v1), last revised 23 Aug 2005 (this version, v3), arXiv:hep-th/9912205,

Abstract:

A very nicely organized and up-to-date presentation of Quantum Field theories. Keywords: fields, Lie algebra, fermions, groups, representations, tensors, matrices, spin, spinors, indices, twistors, field equations, supersymmetry, supergroups, supertwistors, relativity, gauge fields, coupling, conservation, pair creation,hidden symmetry and spontaneous symmetry breaking ===== Table of Contents: ====="Preface p.23 Some field theory texts. p.36 PART ONE: SYMMETRY I. Global A. Coordinates 1. Nonrelativity p.39 2. Fermions 46 3. Lie algebra p.51 4. Relativity p. 54 5. Discrete: C, P, T. 65 6. Conformal p.68 B. Indices 1. Matrices p.73 2. Representations 76 3. Determinants p.81 4. Classical groups 84 5. Tensor notation 86 C. Representations 1. More coordinates 92 2. Coordinate tensors p.94 3. Young tableaux 99 4. Color and flavor 101 5. Covering groups 107 II. Spin A. Two components 1. 3-vectors 110 2. Rotations 114 3. Spinors 115 4. Indices 117 5. Lorentz p.120 6. Dirac 126 7. Chirality/duality p.128 B. Poincar\'e 1. Field equations p131 2. Examples 134 3. Solution p.137 4. Mass p.141 5. Foldy-Wouthuysen p.144 6. Twistors p.148 7. Helicity p.151 C. Supersymmetry 1. Algebra 156 2. Supercoordinates p.157 3. Supergroups 160 4. Superconformal p. 163 5. Supertwistors p. 164 III. Local A. Actions 1. General p.169 2. Fermions 174 3. Fields 176 4. Relativity 180 5. Constrained systems 186 B. Particles 1. Free p. 191 2. Gauges p.195 3. Coupling p.197 4. Conservation p. 198 5. Pair creation p.201 C. Yang-Mills 1. Nonabelian p.204 2. Lightcone p. 208 3. Plane waves p. 212 4. Self-duality p. 213 5. Twistors p.217 6. Instantons 220 7. ADHM 224 8. Monopoles 226 IV. Mixed A. Hidden symmetry 1. Spontaneous breakdown p.232 2. Sigma models p. 234 3. Coset space p. 237 4. Chiral symmetry p.240 5. St\"uckelberg, 243 6. Higgs 245 7. Dilaton cosmology 247 B. Standard model 1. Chromodynamics 259 2. Electroweak 264 3. Families 267 4. Grand Unified Theories p.269 C. Supersymmetry 1. Chiral p.275 2. Actions p.277 3. Covariant derivatives 280 4. Prepotential 282 5. Gauge actions 284 6. Breaking 287 7. Extended 289, and more." PDF download at: http://xxx.lanl.gov/abs/hep-th/9912205 http://xxx.lanl.gov/PS_cache/hep-th/pdf/9912/9912205v3.pdf http://insti.physics.sunysb.edu/~siegel/plan.html

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Open access and free downloads at: http://xxx.lanl.gov/abs/hep-th/9912205 http://xxx.lanl.gov/PS_cache/hep-th/pdf/9912/9912205v3.pdf http://insti.physics.sunysb.edu/~siegel/plan.html

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