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Durham University

Centre for Particle Theory

Introductory Field Theory

24 Lectures Prof. K. Ellis

The course is designed to meet the needs of students who have had very little exposure to field theory, but who have a reasonable grasp of special relativity and quantum mechanics. It provides key basic concepts and mathematical tools useful in any area of research undertaken within the CPT. At the end of it, the serious student should have acquired enough confidence to consult more sophisticated field theory textbooks like Weinberg or Itzykson and Zuber. To first approximation, the course follows Chapters 1 to 4 of Peskin and Schroeder, supplemented with material from the field theory book by Zee and the lecture notes by Tong. It ends with a very elementary description of some QED perturbative processes, and a natural continuation in that direction is offered in the second term (see Quantum Electrodynamics).

Outline of the course

Classical Field Theory.
Canonical Quantisation of Free Fields.
Interaction Theory.

Books for the course

P. Ramond, Field Theory: A Modern Primer (Benjamin, 1994)
F. Mandl and G. Shaw, Quantum Field Theory (Wiley 1984)
L. H. Ryder, Quantum Field Theory (C.U.P 1996)
F. Halzen and A. D. Martin, Quarks and Leptons (Wiley, 1984)
M. E. Peskin and D. V. Schroeder, An Introduction to QFT (Addison Wesley,1984)
S. Weinberg, Quantum Theory of Fields, vol I and II (CUP,1996)
C. Itzykson and J.-B Zuber, Quantum Field Theory (McGraw-Hill,1980)
A. Zee, Quantum Field Theory in a Nutshell (Princeton University Press, 2010)
D. Tong, Lectures on Quantum Field Theory