Module MA44400: Quantum Field Theory
- Credit weighting (ECTS)
- 10 credits
- Semester/term taught
- Michaelmas & Hilary Term 2019-20
- Contact Hours
- Lecturer
- Prof. Samson Shatashvili
- Learning Outcomes
- Module Content
-
- Noether's theorem, the Klein-Gordon field and its quantisation;
- The Dirac field and its quantisation;
- Quantisation of constrained systems;
- The Maxwell field and its quantisation;
- Feynman diagram formalism for scalar ɸ⁴theory;
- Feynman rules for Quantum Electrodynamics (QED);
- Elementary processes of QED;
- S-matrix: Scattering and decay;
- Trace technology;
- Crossing symmetry;
- Radiative corrections: Infrared and Ultraviolet divergencies, Loop computations, LSZ reduction formula, Optical theorem, Ward-Takahashi identities;
- Renormalization of electric charge;
- Module Prerequisite MAU34404, MAU34406
- Required Reading
Michael E. Pesking and Daniel V. Schroeder, An Introduction to Quantum Field Theory, Westview Press
For constrained systems, see;
P. A. M. Dirac, Lectures on quantum mechanics,
https://books.google.com/books/about/Lectures_on_Quantum_Mechanics.html?id=GVwzb1rZW9kC
Recommended Reading
- L.D. Faddeev and A.A. Slavnov,Gauge Fields: Introduction to Quantum Theory, Cambridge University Press (1995);
- Steven Weinberg,The quantum theory of fields. Vol. 1; Foundations, Cambridge University Press (1995);
- N.N. Bogoliubov and D.V. Shirkov, Introduction to the theory of quantized fields, John Wiley & Sons (1959);
- James D. Bjorken, Sidney D. Drell, Relativistic Quantum Mechanics, (International Series in Pure & Applied P), McGraw-Hill College (1965)
Assessment Detail
This module will be examined
in a 3-hour examination in Trinity term. Re-assessments if required will consist of 100% exam.