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MATH52430: Elementary Particle Theory II A

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Type Tied
Level 5
Credits 30
Availability Available in 2024/2025
Module Cap None.
Location Durham
Department Mathematical Sciences

Prerequisites

  • A First Class or Upper Second Class Honours degree in Mathematics or Physics.

Corequisites

  • Elementary Particle Theory I A and B (PHYS52230 and PHYS52330) and Elementary Particle Theory II B (MATH52530)

Excluded Combinations of Modules

  • None

Aims

  • To impart an understanding of the ideas, the mathematical methods and the experimental underpinnings of modern theoretical particle physics through several topics taught at MSc level. In respect of the particular areas, to acquire ability in applying the theory and practice of this knowledge to standard and novel problems or in explaining fundamental aspects of the theory.

Content

  • Conformal field theory
  • Quantum chromodynamics
  • Astroparticle physics
  • Neutrino physics
  • Renormalization group
  • Supersymmetry

Learning Outcomes

Subject-specific Knowledge:

  • Students will have an understanding of the fundamental concepts in advanced topics of theoretical particle physics. They will master a coherent body of knowledge from a selection of the following topics: conformal field theory, quantum chromodymamics, astroparticle physics, neutrino physics, the renormalization group, and supersymmetry.

Subject-specific Skills:

  • Students will develop highly specialised and advanced mathematical skills in the areas studied.
  • They will be able to solve complex, novel and specialised problems, draw conclusions and deploy physical intuition, with minimal guidance.
  • They will develop their mathematical self-sufficiency and be able to read and understand advanced theoretical physics independently.

Key Skills:

  • (1) Problem solving, written presentation of an argument.
  • (2) The ability to learn actively and reflectively and to develop intuition, the ability to tackle material which is given both unfamiliar and complex.
  • (3) Self-organisation, self-discipline and self-knowledge.

Modes of Teaching, Learning and Assessment and how these contribute to the learning outcomes of the module

  • Lectures indicate what is required to be learned and the application of the theory to examples.
  • Formatively assessed assignments provide practice in the application of high level of rigour and sophisticated techniques of mathematical physics as well as feedback for the students and the lecturer on students' progress.
  • The examinations assess the knowledge acquired and the ability to solve both standard and novel problems.
  • The ability to solve problems will show that the key skills have been developed. (Group (1) is tested directly in the problem solving and group (2) either directly or indirectly by the testing of the knowledge acquired. For group (3), a student who has acquired the knowledge and skills to succeed in this module will necessarily have had to develop the ability to organise and execute a programme of work and will discover aspects of and limits to his/her ability.)

Teaching Methods and Learning Hours

ActivityNumberFrequencyDurationTotalMonitored
Lectures328 per week (4 weeks) 2 hours64 
Tutorials144 per week (4 weeks)1 hour16 
Preperation and Reading220 
Total300 

Summative Assessment

Component: Continuous AssessmentComponent Weighting: 20%
ElementLength / DurationElement WeightingResit Opportunity
Continuous Assessment100 
Component: ExaminationComponent Weighting: 80%
ElementLength / DurationElement WeightingResit Opportunity
Examination3 hours100 

Formative Assessment

Problems set by lecturers.

More information

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