Teoria Quântica de Campos I
The course will describe the basics of perturbative Quantum Field Theory. We will cover the following topics
Contents:
1. The need for quantum fields; Poincaré symmetry and quantum mechanics;
2. Canonical quantization and particle interpretation;
3. Path integral quantization and Feynman diagrams;
4. Scattering theory and S matrix, LSZ reduction formula;
5. Loop corrections, renormalization and structure of perturbation theory;
6. Spinors and gauge fields, Quantum Electrodynamics.
7. Beta function, Ward identities and introduction to renormalization group.
Bibliography:
- Main references:
- Srednicki; Quantum Field Theory. Cambridge University Press (2007)
- Schwartz; Quantum Field Theory and the Standard Model. Cambridge University Press (2013)
- Other useful references
- Weinberg; The Quantum Theory of Fields Vol. 1: Foundations. Cambridge University Press (2005)
- Coleman; Notes from Sidney Coleman's lectures on Quantum Field Theory
- Zee; Quantum Field Theory in an Nutshell. Princeton University Press; 2 edition (2010)
- Preskill; Field Theory Lecture Notes.
Seminários de fim de curso:
- Loop corrections in Yukawa theory (51) e Beta functions in Yukawa theory (52)
- Scattering in spinor electrodynamics (59) e Spinor helicity for spinor electrodynamics (60)
- Scalar electrodynamics (61) e Loop corrections in scalar electrodynamics (62)
- The vertex function in spinor electrodynamics (63) e The magnetic moment of the electron (64)
- Ward identities in quantum electrodynamics I (67) e Ward identities in quantum electrodynamics II (68)