Cover
Contents
Preface
Conventions, notations and units
1 Klein–Gordon and Dirac equations: brief history
2 Physical contents of Dirac equation: preliminary discussion
3 Covariant form of Dirac equation. Fun with
4 Relativistic covariance of Dirac equation
5 C, P and T
6 Plane-wave solutions of Dirac equation: u and v
7 Description of spin states of Dirac particle
8 Helicity and chirality
9 Weyl equation
10 Wave packets. Zitterbewegung
11 Klein paradox
12 Relativistic equation for spin-1 particle
13 Splendors and miseries of relativistic quantum mechanics
14 Interlude: Lagrangian formalism for classical fields
15 Conservation laws from symmetries
16 Canonical quantization of real scalar field
17 Particle interpretation of quantized field
18 Complex scalar field. Antiparticles
19 Quantization of Dirac field. Anticommutators
20 Quantization of massive vector field
21 Interactions of classical and quantum fields
22 Examples of
23 Decay rates and cross sections
24 Sample lowest-order calculations for physical processes
25 Scattering in external Coulomb field. Mott formula
26 Propagator of scalar field
27 Propagator of Dirac field
28 Propagator of massive vector field
29 Fate of non-covariant term in vector boson propagator
30 Some applications: QED with massive photon
31 Quantization of electromagnetic field: covariant and non-covariant
32 Gupta–Bleuler method
33 Compton scattering: Klein–Nishina formula
34 S-matrix and Wick’s theorems: an overview
35 S-matrix and Wick’s theorems: some applications
36 S-matrix in fourth order: QED example
37 One-loop QED diagrams in momentum space
38 Regularization of UV divergences
39 Accomplishing dimensional regularization of
40 Pauli–Villars regularization
41
42 More about QED loops
43 Fate of higher fermionic loops
44 Index of UV divergence of 1PI diagram
45 Renormalization in QED: preliminary considerations
46 Renormalization counterterms
47 Renormalization and radiative corrections
48 One-loop vacuum polarization in detail
49 Calculable quantities: UV finite without counterterms
50 Schwinger correction
A Basic properties of Lorentz transformations
B Representations of Lorentz group
C Review of “diracology”
D More about spin states of Dirac field
E Photon propagator in a general covariant gauge
F Electromagnetic form factors of electron
Bibliography
Index