Quantum Field Theory - MAT00102M
Module summary
The module introduces relativistic quantum field theory, which is the mathematical framework currently used to describe the fundamental interactions of nature (electromagnetism, weak and strong interactions), excluding gravity.
Related modules
Additional information
Mathematics and Physics: recommended Quantum Mechanics (Physics PHY00072H) or Quantum Mechanics (Mathematics MAT00096H)
Post-requisite modules:
- Advanced Mathematical Physics
Physics students can take this module as an elective, subject to case-by-case permission by the lecturer.
MSc students or students wishing to take this as an elective should be familiar with:
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The Lagrangian and Hamiltonian formulations of Classical Mechanics
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Quantum Mechanics
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Special Relativity, including the use of index notation for spacetime
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Maxwell’s equations
Module will run
| Occurrence | Teaching period |
|---|---|
| A | Semester 1 2023-24 |
Module aims
The module introduces relativistic quantum field theory, which is the mathematical framework currently used to describe the fundamental interactions of nature (electromagnetism, weak and strong interactions), excluding gravity.
Module learning outcomes
By the end of this module students will be able to:
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Work with the formulation of relativistic field theory.
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Use CCR and CAR relations as applicable in quantum field theory.
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Work with the Klein-Gordon and Dirac equations, the related quantum fields and their symmetries
Module content
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Classical field theory, Lagrangian formulation
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Quantisation of the real and complex scalar fields, the Dirac field, the electromagnetic field
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Symmetries and conservation laws; Noether’s theorem
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Simple examples of interaction in quantum field theory
Indicative assessment
| Task | % of module mark |
|---|---|
| Closed/in-person Exam (Centrally scheduled) | 100 |
Special assessment rules
None
Indicative reassessment
| Task | % of module mark |
|---|---|
| Closed/in-person Exam (Centrally scheduled) | 100 |
Module feedback
Current Department policy on feedback is available in the student handbook. Coursework and examinations will be marked and returned in accordance with this policy.
Indicative reading
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M E Peskin and D V Schroeder, An Introduction to Quantum Field Theory, Westview Press (U 0.143 PES)
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M Srednick, Quantum Field Theory, Cambridge University Press
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A Zee, Quantum Field Theory in a Nutshell, Princeton University Press 2003 (U 0.143 ZEE)