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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.