| preface. notation 1 historical introduction 1.1 relativistic wave mechanics 1.2 the birth of quantum fiedld theory 1.3 the problem of infinities bibliography references 2 relativistic quantum mechanics 2.1 quantum mechanics 2.2 symmetries 2.3 quantum lorentz transformations 2.4 the poincare algebra 2.5 one-particle states 2.6 space inversion and time-reversal 2.7 projective representations appendixa the symmetry representation theorem appendixb group operators and homotopy classes appendixc inversions and degenerate multiplets problems .references 3 scattering theory 3.1 in and out states 3.2 the s-matrix 3.3 symmetries of the s-matrix 3.4 rates and cross-sections 3.5 perturbation theory 3.6 implications of unitarity 3.7 partial_wave expansions 3.8 resonances problems references 4 the cluster decompositon principle.. 4.1 bosons and fermions 4.2 creation and annihilation operators 4.3 cluster decomposition and connected amplitudes 4.4 structure of the interaction 5 quantum fields and antiparticles 5.1 free fields 5.2 causal scalar fields 5.3 causal vector fields 5.4 the dirac formalism 5.5 causal dirac fields 5.6 general irreducible representations of the homogeneous lorentz group 5.7 general causal fields …… 6 the feynman rules 7 the canonical formalism 8 electrodynamics 9 path-integral methods 10 non-perturbative methods 11 one-loop radiative corrections in quantum electrodynamics 12 general renormalization theory 13 infrared effects 14 bound states in external fields outline of volumeii... |
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