Fields
File : pdf, 4.1MB, 885 pages
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 1
5. Covering groups
II. Spin
A. Two components
1. 3-vectors
2. Rotations
3. Spinors
4. Indices
5. Lorentz
6. Dirac
7. Chirality/duality
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
1. General
2. Fermions
3. Fields
4. Relativity
5. Constrained systems
B. Particles
1. Free
2. Gauges
3. Coupling
4. Conservation
5. Pair creation
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
V. Quantization
A. General
1. Path integrals
2. Semiclassical expansion
3. Propagators
4. S-matrices
5. Wick rotation
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
1. Hamiltonian
2. Lagrangian
3. Particles
4. Fields
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
1. Dimensional renormaliz’n
2. Momentum integration
3. Modified subtractions
4. Optical theorem
5. Power counting
6. Infrared divergences
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
IX. General relativity
A. Actions
B. Gauges
C. Curved spaces
X. Supergravity
A. Superspace
B. Actions
C. Higher dimensions
XI. Strings
A. Generalities
B. Quantization
C. Loops
XII. Mechanics
A. OSp(1,1|2)
B. IGL(1)
C. Gauge fixing
Download : link
