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Quantum Field Theory - MAT00102M

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  • Department: Mathematics
  • Module co-ordinator: Dr. Eli Hawkins
  • Credit value: 20 credits
  • Credit level: M
  • Academic year of delivery: 2023-24
    • See module specification for other years: 2024-25

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

Pre-requisite modules

Co-requisite modules

  • None

Prohibited combinations

  • None

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:

  • The Lagrangian and Hamiltonian formulations of Classical Mechanics

  • Quantum Mechanics

  • Special Relativity, including the use of index notation for spacetime

  • 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:

  1. Work with the formulation of relativistic field theory.

  2. Use CCR and CAR relations as applicable in quantum field theory.

  3. Work with the Klein-Gordon and Dirac equations, the related quantum fields and their symmetries

Module content

  • Classical field theory, Lagrangian formulation

  • Quantisation of the real and complex scalar fields, the Dirac field, the electromagnetic field

  • Symmetries and conservation laws; Noether’s theorem

  • Simple examples of interaction in quantum field theory

Assessment

Task Length % of module mark
Closed/in-person Exam (Centrally scheduled)
Quantum Field Theory		 3 hours 100

Special assessment rules

None

Reassessment

Task Length % of module mark
Closed/in-person Exam (Centrally scheduled)
Quantum Field Theory		 3 hours 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

  • M E Peskin and D V Schroeder, An Introduction to Quantum Field Theory, Westview Press (U 0.143 PES)

  • M Srednick, Quantum Field Theory, Cambridge University Press

  • A Zee, Quantum Field Theory in a Nutshell, Princeton University Press 2003 (U 0.143 ZEE)


The information on this page is indicative of the module that is currently on offer. The University is constantly exploring ways to enhance and improve its degree programmes and therefore reserves the right to make variations to the content and method of delivery of modules, and to discontinue modules, if such action is reasonably considered to be necessary by the University. Where appropriate, the University will notify and consult with affected students in advance about any changes that are required in line with the University's policy on the Approval of Modifications to Existing Taught Programmes of Study.