introduction
1 lorentz and poincare invariance
1.1 lorentz invariance
1.2 structure of the lorentz group
1.3 poincare invariance
1.4 maxwell equations
1.5 notations and conventions
2 relativistic quantum mechanics of free particles
2.1 hilbert space
2.2 matrices in hilbert space
2.3 fields
2.4 structure of hilbert space
3 interacting fields
3.1 physical system
3.2 hilbert space
3.3 magnitude of hilbert space
3.4 u-matrix, s-matrix
3.5 interpolating fields
3.6 feynman rules
3.7 feynman propagator
3.8 scattering cross section
3.9 lifetime
3.10 numerical evaluation
3.11 schrodinger equation, bound states
4 particles with spin
4.1 representations of the lorentz group
4.2 the dirac equation
4.3 fermion fields
4.4 the e.m. field
4.5 quantum electrodynamics
4.6 charged vector boson fields
4.7 electron-proton scattering. the rutherford formula
5 explorations
5.1 scattering cross section for e+e-→μ+μ-
5.2 pion decay. two body phase space. cabibbo angle
5.3 vector boson decay
5.4 muon decay. fiertz transformation
5.5 hyperon leptonic decay
5.6 pion decay and pcac
5.7 neutral pion decay and pcac
6 renormalization
6.1 introduction
6.2 loop integrals
6.3 self energy
6.4 power counting
6.5 quantum electrodynamics
6.6 renormalizable theories
6.7 radiative corrections: lamb shift
6.8 radiative corrections: top correction to p-parameter
6.9 neutral pion decay and the anomaly
7 massive and massless vector fields
7.1 subsidiary condition massive vector fields
7.2 subsidiary condition massless vector fields
7.3 photon helicities
7.4 propagator and polarization vectors of massive vector particles
7.5 photon propagator
7.6 left handed photons
8 unitarity
8.1 u-matrix
8.2 largest time equation
8.3 cutting equations
8.4 unitarity and cutting equation
8.5 unitarity: general case
8.6 kallen-lehmann representation, dispersion relation
8.7 momenta in propagators
9 quantum electrodynamics: finally
9.1 unitarity
9.2 ward identities
appendix a complex spaces, matrices, cbh equatioh
a.1 basics
a.2 differentiation of matrices
a.3 functions of matrices
a.4 the cbh equation
appendix b traces
b. 1 general
b.2 multi-dimensional y-matrices
b.3 frequently used equations
appendix c dimensional regularization
appendix d summary. combinatorial factors
d.1 summary
d.2 external lines, spin sums, propagators
d.3 combinatorial factors
appendix e standard model
e. 1 lagrangian
e.2 feynman rules
appendix f metric and conventions
f.1 general considerations
f.2 translation examples
f.3 translation dictionary
index