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)

- Peskin and Schroeder; An Introduction to QuantumField Theory. Westview Press; Reprint edition (1995)

- Witten; Witten's Notes on Perturbative Quantum Field Theory in Quantum Fields and Strings: A Course for Mathematicians. American Mathematical Society; 2 Volume Set edition (1999)

- Preskill; Field Theory Lecture Notes.

Seminários de fim de curso:

1. Loop corrections in Yukawa theory (51) e Beta functions in Yukawa theory (52)
2. Scattering in spinor electrodynamics (59) e Spinor helicity for spinor electrodynamics (60)
3. Scalar electrodynamics (61) e Loop corrections in scalar electrodynamics (62)
4. The vertex function in spinor electrodynamics (63) e The magnetic moment of the electron (64)
5. Ward identities in quantum electrodynamics I (67) e Ward identities in quantum electrodynamics II (68)