Next: Problem Series Up: Home Page ITC Previous: Summaries
| The program of the discipline coincides with the text book . This text at the moment is mostly in Portuguese. |
| Aula | Program The pages numbers indicated are from the text, Introdução à Teoria do Campo by Jorge C. Romão, New edition for the academic year 2015/2016. |
|
| 1ª Week (15/2 a 19/2) |
Lecture 1 | Presentation of the course: Program, bibliography and evaluation method. |
| Lecture 2 | Chapter 1 Relativistic Quantum Mechanics Dirac Equation. Covariance of the Dirac equation. Bilinear covariants. Natural system of units. The spin and the Dirac equation. Pags. 9-28. | |
| 2ª Week (22/2 a 26/2) |
Lecture 3 | Solutions for the free particle. Spin. Projectors. Charge conjugation. Antiparticles. Dirac and Feynman-Stuckelberg interpretation of the antiparticles. Pags. 28-41. |
| Lecture 4 | Spin and helicity. Equation for spin 1/2 massless particles. Minimal coupling. Lagrangian density and equations of Euler-Lagrange. Non relativistic limit of the Dirac equation. Pags. 42-55. END of Chapter 1. | |
| 3ª Week (29/2 a 4/3) |
Lecture 5 |
Chapter 2 Propagators and Green Functions The non-relativistic propagator. Free propagators for the Dirac equation. S Matrix. Coulomb scattering. Pags. 75-88 END of Chapter 2 |
| Lecture 6 | No class. (Jornadas MEFT) | |
| Series 1 | Problem series on chapters 1 and 2. Due on the 8/4/2016. | |
| 4ª Week (7/3 a 11/3) |
Lecture 7 |
Chapter 3 Feynman Rules for QED Coulomb scattering. Coulomb cross section for electrons. Theorems on the traces of gamma matrices. Pags. 89-96. |
| Lecture 8 | Explicit spin sums on the helicity basis. Coulomb scattering for positrons. Elastic electron-muon scattering. Pags. 96-104 | |
| 5ª Week (14/3 a 18/3) |
Lecture 9 | Elastic electron-muon scattering. Elastic electron-muon scattering in second order in perturbation theory. Pags. 104-112 |
| Lecture 10 |
Compton scattering. Feynman Rules for QED.
Pags. 110-115
END of Chapter 3 . Chapter 4 S-Matrix. Wick's Theorem. Feynman Rules The Schrödinger, Heisenberg and Interaction pictures. Summary of the second quantized free fields. The real scalar field. Pags. 127-132 |
|
| Week da Páscoa (21/3 a 25/3 ) |
Easter Holidays | |
| Easter Holidays | ||
| 6ª Week (28/3 a 1/4) |
Lecture 11 | Summary of the second quantized free fields (continuation) Pags. 132-142. |
| Lecture 12 | S Matrix. Wick Theorem. Pags. 142-147 | |
| 7ª Week (4/4 a 8/4) |
Lecture 13 | Feynman Rules from the second quantization formalism. Pags. 148-162. END of Chapter 4 . |
| Lecture 14 |
Chapter 5 Simple processes in QED Calculation of the Compton scattering cross section. Calculation of the scattering electron-positron -> muon-anti-muon. Pags 165-176 |
|
| 8ª Week (11/4 a 15/4) |
Lecture 15 | Scattering electron-positron -> muon-anti-muon with helicity methods. Pags 176-179 |
| Lecture 16 | Bhabha scattering. Bremsstrahlung. Pags 180-187 | |
| Series 2 | Problem series on Chapters 3 to 6. Due on the 20/5/2016. | |
| 9ª Week (18/4 a 22/4) |
Lecture 17 | Helicty amplitudes. 187-204 |
| Lecture 18 | Lecture on software programs used to make calculations in field theory: FeynCalc, calchep and qgraf (using the Bhabha scattering in QED as an example). END of Chapter 5 . | |
| 10ª Week (25/4 a 29/4) |
Lecture 19 |
Chapter 6 Simple Examples in the Standard Model Introduction to the Standard Model of ElectroWeak Interactions. Propagators, chaged and neutral currents. decay width of the Z0 into fermions. The helicy amplitudes method for the decay of the Z0 into fermions: cases with and without mass. Pags. 215-227 |
| Lecture 20 | Scattering electron-positron -> muon-antimuon in the Standard Model. The decay of the muon. Pags. 227-235. END of Chapter 6 . | |
| 11ª Week (2/5 a 6/5) |
Lecture 21 | Chapter 7 Radiative Corrections 1-loop renormalization: Self-energy of the photon (vacuum polarization). Dimensional regularization. Feynman parameterization. Wick rotation. Divergences as poles i«og the Gamma function. Pags. 257-262 |
| Lecture 22 | Practical Lecture on the installation and use of the software (with computers). | |
| 12ª Week (9/5 a 13/5) |
Lecture 23 | 1-loop renormalization: Self-energy of the photon (continuation). Counter terms and renormalization. Pags. 262-268 |
| Lecture 24 | 1-loop renormalization: Self-energy of the eelctron. Renormalization of the vertice in QED. Power conting. Renormalizable theories. Pags. 268-282 | |
| 13ª Week (16/5 a 20/5) |
Lecture 25 | Finite contributions from the renormalization: Anomalous magnetic moment of the electron. The cancelling of the infrared divergence in the Coulomb scattering. Pags. 282-291 END of Chapter 7 . |
| Lecture 26 | The decay H -> photon + photon in the Standard Model: Example of a complete non trivial calculation. | |
| Homework | Individual Homework will be available on the 22/05/2016. Due on the 30/05/2016. | |
| 14ª Week (23/5 a 27/5) |
Lecture 27 | Topic to be announced |
| Lecture 28 | Topic to be announced | |