5.7Physical meaning of energy eigenstates
5.9Covariant commutation relations
5.10References
6Self-interacting scalar field theory
6.1.1Space-time translation
6.2Self-interacting ϕ4 theory
6.3Interaction picture and time evolution operator
6.4S-matrix
6.5Normal ordered product and Wick’s theorem
6.6Time ordered products and Wick’s theorem
6.7Spectral representation and dispersion relation
6.8References
7.2Field decomposition
7.3Charge operator
7.4Green’s functions
7.5Spontaneous symmetry breaking and the Goldstone theorem
7.6Electromagnetic coupling
7.7References
8.2Quantization of the Dirac field
8.3Field decomposition
8.4Charge operator
8.5Green’s functions
8.6Covariant anti-commutation relations
8.7Normal ordered and time ordered products
8.8Massless Dirac fields
8.9Yukawa interaction
8.10Feynman diagrams
8.11References
9.2Canonical quantization
9.3Field decomposition
9.4Photon propagator
9.5Quantum electrodynamics
9.6Physical processes
9.7Ward-Takahashi identity in QED
9.8Covariant quantization of the Maxwell theory
9.9References
10Dirac method for constrained systems
10.2Dirac method and Dirac bracket
10.3Particle moving on a sphere
10.4Relativistic free particle
10.5Dirac field theory
10.6Maxwell field theory
10.7References
11.1Parity
11.1.1Parity in quantum mechanics
11.1.2Spin zero field
11.1.3Photon field
11.1.4Dirac field
11.2Charge conjugation
11.2.1Spin zero field
11.2.2Dirac field
11.2.3Majorana fermions
11.2.4Eigenstates of charge conjugation
11.3Time reversal
11.3.1Spin zero field and Maxwell’s theory
11.3.2Dirac fields
11.3.3 Consequences of T invariance
11.3.4Electric dipole moment of neutron
11.4CPT theorem
11.4.1Equality of mass for particles and antiparticles
11.4.2Electric charge for particles and antiparticles
11.4.3Equality of lifetimes for particles and antiparticles
11.5References
12.1Non-Abelian gauge theories
12.2Canonical quantization of Yang-Mills theory
12.3Path integral quantization of gauge theories
12.4Path
