File : pdf, 5 MB, 885 pages
by Warren Siegel
TOC
PART ONE: SYMMETRY
I. Global
A. Coordinates
1. Nonrelativity
2. Fermions
3. Lie algebra
4. Relativity
5. Discrete: C, P, T
6. Conformal
B. Indices
1. Matrices
2. Representations
3. Determinants
4. Classical groups
5. Tensor notation
C. Representations
1. More coordinates
2. Coordinate tensors
3. Young tableaux
4. Color and flavor
5. Covering groups
II. Spin
A. Two components
B. Poincare
1. Field equations
2. Examples
3. Solution
4. Mass
5. Foldy-Wouthuysen
6. Twistors
7. Helicity
C. Supersymmetry
1. Algebra
2. Supercoordinates
3. Supergroups
4. Superconformal
5. Supertwistors
III. Local
A. Actions
B. Particles
C. Yang-Mills
1. Nonabelian
2. Lightcone
3. Plane waves
4. Self-duality
5. Twistors
6. Instantons
7. ADHM
8. Monopoles
IV. Mixed
A. Hidden symmetry
1. Spontaneous breakdown
2. Sigma models
3. Coset space
4. Chiral symmetry
5. Stuckelberg
6. Higgs
7. Dilaton cosmology
B. Standard model
1. Chromodynamics
2. Electroweak
3. Families
4. Grand Unified Theories
C. Supersymmetry
1. Chiral
2. Actions
3. Covariant derivatives
4. Prepotential
5. Gauge actions
6. Breaking
7. Extended
PART TWO: QUANTA
V. Quantization
A. General
B. Propagators
1. Particles
2. Properties
3. Generalizations
4. Wick rotation
C. S-matrix
1. Path integrals
2. Graphs
3. Semiclassical expansion
4. Feynman rules
5. Semiclassical unitarity
6. Cutting rules
7. Cross sections
8. Singularities
9. Group theory
VI. Quantum gauge theory
A. Becchi-Rouet-Stora-Tyutin
B. Gauges
1. Radial
2. Lorenz
3. Massive
4. Gervais-Neveu
5. Super Gervais-Neveu
6. Spacecone
7. Superspacecone
8. Background-field
9. Nielsen-Kallosh
10. Super background-field
C. Scattering
VII. Loops
A. General
B. Examples
1. Tadpoles
2. Effective potential
3. Dimensional transmut’n
4. Massless propagators
5. Bosonization
6. Massive propagators
7. Renormalization group
8. Overlapping divergences
C. Resummation
1. Improved perturbation
2. Renormalons
3. Borel
4. 1/N expansion
VIII. Gauge loops
A. Propagators
1. Fermion
2. Photon
3. Gluon
4. Grand Unified Theories
5. Supermatter
6. Supergluon
7. Schwinger model
B. Low energy
1. JWKB
2. Axial anomaly
3. Anomaly cancellation
5. Vertex
6. Nonrelativistic JWKB
7. Lattice
C. High energy
1. Conformal anomaly
3. Parton model
4. Maximal supersymmetry
5. First quantization
PART THREE: HIGHER SPIN
IX. General relativity
A. Actions
1. Gauge invariance
2. Covariant derivatives
3. Conditions
4. Integration
5. Gravity
6. Energy-momentum
7. Weyl scale
B. Gauges
C. Curved spaces
1. Self-duality
2. De Sitter
3. Cosmology
4. Red shift
5. Schwarzschild
6. Experiments
7. Black holes
X. Supergravity
A. Superspace
B. Actions
C. Higher dimensions
XI. Strings
A. Generalities
1. Regge theory
2. Topology
3. Classical mechanics
4. Types
5. T-duality
6. Dilaton
7. Lattices
B. Quantization
1. Gauges
2. Quantum mechanics
3. Commutators
4. Conformal transformat’ns
5. Triality
6. Trees
7. Ghosts
C. Loops
XII. Mechanics
A. OSp(1,1|2)
1. Lightcone
2. Algebra
3. Action
4. Spinors
5. Examples
B. IGL(1)
1. Algebra
2. Inner product 837
4. Solution
5. Spinors
6. Masses
7. Background fields
8. Strings
9. Relation to OSp(1,1|2)
C. Gauge fixing
1. Antibracket
2. ZJBV
3. BRST
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