MAU44400 Quantum field theory

Module Code	MAU44400
Module Title	Quantum field theory
Semester taught	Semesters 1,2 (yearlong)
ECTS Credits	10
Module Lecturers	Prof. Samson Shatashvili
Module Prerequisites	MAU34404 Quantum mechanics II and MAU34406 Statistical physics II

This module is examined in a 3-hour examination at the end of Semester 2.
Students are assessed based on the exam alone.
The module is passed if the overall mark for the module is 40% or more. If the overall mark for the module is less than 40% and there is no possibility of compensation, the module will be reassessed as follows:
1) A failed exam in combination with passed continuous assessment will be reassessed by an exam in the supplemental session;
2) The combination of a failed exam and failed continuous assessment is reassessed by the supplemental exam;
3) A failed continuous assessment in combination with a passed exam will be reassessed by one or more summer assignments in advance of the supplemental session.
Capping of reassessments applies to Theoretical Physics (TR035) students enrolled in this module. See full text at https://www.tcd.ie/teaching-learning/academic-affairs/ug-prog-award-regs/derogations/by-school.php Select the year and scroll to the School of Physics.

11+11 weeks of teaching with 3 lectures per week.

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 ɸ⁴ theory.
Feynman rules for Quantum Electrodynamics (QED).
Elementary processes of QED.
S-matrix: Scattering and decay.
Trace technology.
Crossing symmetry.
Radiative corrections: Infrared and Ultraviolet divergences, Loop computations, LSZ reduction formula, Optical theorem, Ward-Takahashi identities.
Renormalization of electric charge.

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.