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Quantum Field Theory: By Academician Prof. Kazuhiko Nishijima - A Classic in Theoretical Physics - Softcover
Synopsis
1 Elementary Particle Theory and Field Theory
1.1 Classification of Interactions and Yukawa's Theory
1.2 Muon as the First Member of the Second Generation
1.3 Quantum Electrodynamics
1.4 Road from Pions to Hadrons
1.5 Strange Particles as Members of the Second Generation
1.6 Non-conservation of Parity
1.7 Neutrino in the Second Generation
1.8 Democracy and Aristocratism of Hadrons-Quark Model
2 Canonical Formalism and Quantum Mechanics
2.1 Schr¨odinger's Picture and Heisenberg's Picture
2.2 Hamilton's Principle
2.3 Equivalence between Canonical Equation and Lagrange's Equation
2.4 Equal-Time Canonical Commutation Relations
3 Quantisation of Free Fields
3.1 Field Theory Based on Canonical Formalism
3.2 Relativistic Generalisation of Canonical Equation
3.3 Quantisation of Real Scalar Field
3.4 Quantisation of Complex Scalar Field
3.5 Dirac's Equation
3.6 Relativistic Invertibilities of Dirac's Wave Function
3.7 Solutions of Free Dirac's Equation
3.8 Quantisation of the Dirac Field
3.9 Charge Conjugation
3.10 Quantisation of Complex Vector Field
4 Invariant Functions and Quantisation of Free Fields
4.1 Unequal-time Commutation Relations of Real Scalar Field
4.2 Various Sorts of Invariant Functions
4.3 Unequal-time Commutation Relations of Free Fields
4.4 Generality of Quantisation of Free Fields
5 Indefinite Metric and Electromagnetic Field
5.1 Indefinite Metric
5.2 Generalised Eigenstates
5.3 Free Electromagnetic Field-Fermi's Gauge
5.4 Lorentz Condition and Physical State Space
5.5 Free Electromagnetic Field-Generalisation of Gauge Choices
6 Quantisation of Interacting Systems
6.1 Tomonaga-Schwinger Equation
6.2 Retarded Product Expansion of Heisenberg's Operators
6.3 Yang-Feldman Expansion of Heisenberg's Operators
6.4 Examples of Interactions
7 Symmetries and Conservation Laws
7.1 Noether's Theorem for Point-Particle Systems
7.2 Noether's Theorem in Field Theory
7.3 Examples of Noether's Theorem
7.4 Poincar´e Invariance
7.5 Representations of Lorentz Group
7.6 Spin of a Massless Particle
7.7 Pauli-G¨ursey Group
8 S-Matrix
8.1 Definition of S-Matrix
8.2 Dyson's Formula for S-Matrix
8.3 Wick's Theorem
8.4 Feynman Diagrams
8.5 Examples of S-Matrix Elements
8.6 Furry's Theorem
8.7 Two-Photon Decays of Neutral Mesons
9 Cross Sections and Decay Widths
9.1 Møller's Formula for Cross Sections and Formula of
Decay Widths
9.2 Examples of Cross Sections and Decay Widths
9.3 Inclusive Reactions
9.4 Optical Theorem
9.5 Three-Body Decays
10 Discrete Symmetries
10.1 Symmetries and Unitary Transformations
10.2 Parity of Antiparticles
10.3 Isospin Parity and G-Conjugation
10.4 Anti-unitary Transformations
10.5 CPT Theorem
11 Green's Functions
11.1 Gell-Mann-Low Relation
11.2 Green's Functions and Their Generating Functionals
11.3 Time-Orderings in Lagrangian Formalism
11.4 Matthews' Theorem
11.5An Example of Matthews' Theorem with Modification
11.6 Reduction Formula in the Interaction Picture
11.7 Asymptotic Conditions
11.8 Unitarity Condition on Green's Function
11.9 Retarded Green's Functions
12 Renormalisation Theory
12.1 Lippmann-Schwinger Equation
12.2 Renormalised Interaction Picture
12.3 Renormalisation of Masses
12.4 Renormalisation of Field Operators
12.5 Renormalised Propagators
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