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introduction to Quantum Field Theory
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N.B.
[ ps | pdf | png ] ← The minimal solution to the (alternative) examination problem.
Schedule:
Lectures: Tuesday, 10:15 and Thursday, 10:15; Aud. 1520-616.
Seminars: Wednesday, 12:15; Aud. 1520-616.
Weekly notes:
  1. [ ps | pdf | png ] (last edit: 25.06) Introduction. The subject of quantum field theory. Particles and fields. Four-vector notation.
  2. [ ps | pdf | png-1, png-2 ] (last edit: 25.06) Variational principle. Euler-Lagrange equation. Translation invariance and energy-momentum tensor. Gauge invariance and conserved current.
  3. [ ps | pdf | png-1, png-2 ] (last edit: 25.06) Canonical quantization of a complex scalar field. Normal modes. Energy and charge in normal mode representation. Number of particles operator. Generation-annihilation operators.
  4. [ ps | pdf | png-1, png-2 ] (last edit: 25.06) The group of coordinate transformations. Transformational properties of fields. Group representations. Lie groups and Lie algebras. Lie algebras of the rotation group and the Lorentz group. Irreducible representations of the rotation group.
  5. [ ps | pdf | png-1, png-2 ] (last edit: 25.06) Irreducible representations of the Lorentz group. Direct product of two representations of a group. Reduction of a direct product of two representations of the rotation group and the Lorentz group. Parity transformation. Finite rotation matrix.
  6. [ ps | pdf | png-1, png-2 ] (last edit: 25.06) Spin-1/2 field. Bispinors. Bilinear forms of bispinors. Gamma-matrices. Lagrangian. Dirac equation.
  7. [ ps | pdf | png-1, png-2 ] (last edit: 25.06) Canonical quantization of spin-1/2 field. Normal modes (plane-waves). Charge and energy in normal mode representation. Generation-annihilation operators: anti-commutation relation.
  8. [ ps | pdf | png-1, png-2 ] (last edit: 25.06) Massive spin-1 field, Lorentz condition; Electromagnetic field, gauge invariance, quantization in radiation gauge; Spin-statistics theorem.
  9. [ ps | pdf | png-1, png-2 ] (last edit: 25.06) Interacting quantum fields; Interaction Lagrangian; Time development in quantum mechanics: Heisenberg, Schrödinger, and interaction picture; S-matrix.
  10. [ ps | pdf | png-1, png-2 ] (last edit: 25.06) Calculation of the S-matrix elements: time- and normal-product of field operators; propagators; Feynman diagrams.
  11. [ ps | pdf | png-1, png-2 ] (last edit: 25.06) Feynman diagrams in coordinates space; CPT-theorem.
  12. [ ps | pdf | png-1, png-2 ] (last edit: 25.06) Gauge theories: QED; Yang-Mills theories; the gauge group of the Standard Model.
  13. [ ps | pdf | png-1, png-2 ] (last edit: 25.06) Spontaneous symmetry breaking; The Higgs mechanism; The standard model.
  14. [ ps | pdf | png-1, png-2 ] (last edit: 25.06) Non-relativistic limit of QFT; Lippmann-Schwinger equation; One boson exchange potential.
Literature:
P.J. Mulders, Quantum Field Theory, lecture notes.
Links:
A free textbook on field theory by Warren Siegel
Wikipedia
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