Symmetry and S-matrix in QFT

space-time symmetry, partial wave amplitude, unitarity and dispersion

• States under space-time symmetry

• S-matrix transformed under little group

• Partial wave expansion

• unitarity

Textbooks

• Textbook with Weinberg

  • Weinberg, QFT volume 1

  • Alan D. Martin, T. D. Spearman, Elementary particle theory, 1970

  • YU. V. Novozhilov, Introduction to Elementary Particle Theory, 1975

  • H. Muirhead, The Physics of Elementary Particles, 1965

Space-time Symmetries

• Lorentz and Poincare Symmetries

• Conformal and de Sitter Symmetries

  • Group contraction, thesis

• Galileo Symmetry

  • Book: Kurt Sundermeyer, Symmetries in Fundamental Physics

Spinor-Helicity and On-shell Amplitude

S-matrix and Dispersion theory

• Gabriel Barton, Introduction to Dispersion Techniques in Field Theory, 1965

• Jan Hilgevoord, Dispersion relations and Causal Description, 1960

• N. M. Queen, G. Violini, Dispersion theory in High-energy Physics, 1974

• Space-time symmetry and Internal symmetry

Dynamics and Action in QFT

Lagrangian and path integral, gauge theory, QCD and EW theory

Many modern textbooks after 1975.

Group theory