pic

~~ Dr. Jozef Dudek ~~

Margaret Hamilton Associate Professor of Physics


Phys721 — Quantum Field Theory I


Books

There are lots of good QFT texts. Here are some that i'm familiar with:

  • Peskin & Schroeder An Introduction to Quantum Field Theory. Overall the best choice for this class.
  • Mandl & Shaw Quantum Field Theory. Gentle, much emphasis on QED.
  • Ryder Quantum Field Theory. Emphasizes path integral approach and scalar fields.
  • Brown Quantum Field Theory. Somewhat formal, emphasises path integrals. Pleasingly thorough, but annoying space-time metric.
  • Weinberg Quantum Theory of Fields, Vol 1. Rather more formal, but very complete. Idiosyncratic notation takes a lot of getting used to.
  • Zee Quantum Field Theory in a Nutshell. Not really a textbook, but very easy to read.
  • Aitchison & Hey Gauge Theories in Particle Physics. Two volume series, not really a QFT textbook, but very easy to read.

Topics

  • Canonical quantization of scalar, spinor and vector fields
  • Integracting field theories and Feynman diagrams
  • Scattering theory
  • Quantum electrodynamics
  • Introduction to radiative corrections, loop diagrams and renormalization

Grading

Problem Sets: 50%, Final Exam (take-home): 50%.

Office Hours

Dudek's office (or zoom by appointment) 1.30pm-2.30pm on Fridays.

Lecture Notes

1. Free scalar fields [pdf]
2. Interacting scalar fields [pdf]
3. The Dirac field [pdf]
4. Quantizing the Dirac field [pdf]
5. Scattering [pdf]
6. Quantum Electrodynamics [pdf]
7. Radiative corrections [pdf]
8. A sketch of renormalization [pdf]

Problem Sets

1. Preliminaries [pdf] due Sep. 9
2. Relativistic Quantum Mechanics [pdf] due Sep. 16
3. Free scalar fields [pdf] due Sep. 23
4. Interacting scalar fields [pdf] due Oct. 7
5. The fermion field [pdf] due Oct. 14
6. Gamma matrices and quantized fermions [pdf] due Oct. 21
7. Scattering and decays [pdf] due Oct. 28
8. Coupled scalar and fermion fields [pdf] due Nov. 4
9. QED [pdf] due Nov. 18 [hint]
10. Evaluating one-loop diagrams [pdf] due Nov. 25
11. Once more around the one-loop [pdf] due Dec. 2