Advanced Quantum Field Theory (PHYC90057)
Graduate courseworkPoints: 12.5On Campus (Parkville)
Overview
| Availability | Semester 2 |
|---|---|
| Fees | Look up fees |
Quantum field theory has been at the forefront of important breakthroughs in both physics and mathematics in past decades. This subject develops an advanced understanding of the quantum properties of non-Abelian gauge theory via the use of modern field-theoretical methods. Non-Abelian gauge theory is the underlying structure behind the Standard Model of particle physics.
The subject introduces path integrals (including for fermions) in field theory. We develop functional methods to derive Feynman rules from the path integral and calculate the effective action and effective potential. Another major topic is renormalisation. We will explore renormalisation using the method of dimensional regularisation to calculate loop integrals. We will derive the Callan-Symanzik equation and the implications of renormalisation group flow such as asymptotic freedom. We will also study the subtleties of quantising non-Abelian gauge theories through topics such as gauge fixing, Fadeev-Popov ghosts and BRST invariance.
Time permitting, further specific topics may be taken from effective field theory and power-counting, anomalies, non-perturbative techniques, topological defects, and other extended objects in field theory.
Intended learning outcomes
On completion of this subject, students should be able to:
- Understand the path integral formulation of quantum field theory;
- Calculate the quantum corrections to a wide range of classical field theory processes;
- Apply functional methods to derive Feynman rules from path integrals;
- Derive renormalisation group equations for quantities in general gauge theories;
- Understand how to consistently quantise a non-Abelian gauge theory.
Generic skills
- Advanced problem-solving and critical thinking skills;
- An ability to apply abstract concepts to real-world situations;
- An ability to solving solve relatively complicated problems using approximations;
- An ability to participate as an effective member of a group in discussions and collaborative assignments;
- Effective time-management skills;
- The capacity to apply concepts developed in one area to a different context.
Last updated: 4 March 2025
Eligibility and requirements
Prerequisites
Students must take
- PHYC90008 Quantum Field Theory (Semester 1)
Corequisites
Non-allowed subjects
Inherent requirements (core participation requirements)
The University of Melbourne is committed to providing students with reasonable adjustments to assessment and participation under the Disability Standards for Education (2005), and the Assessment and Results Policy (MPF1326). Students are expected to meet the core participation requirements for their course. These can be viewed under Entry and Participation Requirements for the course outlines in the Handbook.
Further details on how to seek academic adjustments can be found on the Student Equity and Disability Support website: http://services.unimelb.edu.au/student-equity/home
Last updated: 4 March 2025
Assessment
| Description | Timing | Percentage |
|---|---|---|
One written assignment due in week 7
| Week 7 | 15% |
One written assignment due in Week 11
| Week 11 | 15% |
One 3.5 hour written exam during the examination period
| During the examination period | 70% |
Last updated: 4 March 2025
Dates & times
- Semester 2
Principal coordinator Katie Auchettl Coordinator Matthew Dolan Mode of delivery On Campus (Parkville) Contact hours 36 hours comprising 3 one-hour lectures/week Total time commitment 170 hours Teaching period 28 July 2025 to 26 October 2025 Last self-enrol date 8 August 2025 Census date 1 September 2025 Last date to withdraw without fail 26 September 2025 Assessment period ends 21 November 2025
Time commitment details
Time not spent in class or completing assignments will be spent in independent study.
What do these dates mean
Visit this webpage to find out about these key dates, including how they impact on:
- Your tuition fees, academic transcript and statements.
- And for Commonwealth Supported students, your:
- Student Learning Entitlement. This applies to all students enrolled in a Commonwealth Supported Place (CSP).
Subjects withdrawn after the census date (including up to the ‘last day to withdraw without fail’) count toward the Student Learning Entitlement.
Last updated: 4 March 2025
Further information
- Texts
Last updated: 4 March 2025