Outline

Overview

Quantum Field Theory (QFT) is the basic mathematical framework that is used for a consistent quantum-mechanical description of relativistic systems, such as fundamental subatomic particles in particle physics. The tools of QFT are also used for description of quasi-particles and critical phenomena in condensed matter physics and other related fields. This course introduces major concepts and technical tools of QFT. The course is largely self-contained and covers also Lagrangian and Hamiltonian formalisms for classical fields, elements of group theory and path integral formulation of quantum mechanics. The main topics include second quantization of various fields and description of their interactions, with the main focus on the most accurate fundamental theory of quantum electromagnetism. The last part of the course deals the concept of the renormalisation group, and its applications to critical phenomena in condensed matter systems. By completing this course, you will obtain knowledge of major concepts and tools of contemporary fundamental physics, that can be employed in a wide range of physics and physics-based research, starting from the description of profound effects in condensed matter physics and ending by the understanding of basic building blocks of the Universe .

Unit details and rules

Unit code	PHYS4125
Academic unit	Physics Academic Operations
Credit points	6
Prohibitions ?	None
Prerequisites ?	An average of at least 65 in 144 cp of units including (PHYS3x34 or PHYS3x42 or PHYS3x43 or PHYS3x44 or PHYS3x35 or PHYS3x40 or PHYS3941 or PHYS3x36 or PHYS3x68 or MATH3x63 or MATH4063 or MATH3x78 or MATH4078)
Corequisites ?	None
Assumed knowledge ?	A major in physics including third-year quantum physics
Available to study abroad and exchange students	Yes

Teaching staff

Coordinator	Bruce Yabsley, bruce.yabsley@sydney.edu.au
Lecturer(s)	Archil Kobakhidze, archil.kobakhidze@sydney.edu.au

Type	Description	Weight	Due	Length
Final exam (Take-home short release)	Final exam Final exam	50%	Formal exam period	3 hours
Outcomes assessed:
Assignment	Assignment 1 Written assignment. Selected problems from lectures 1-8.	12.5%	Week 05	-
Outcomes assessed:
Assignment	Assignment 2 Written assignment. Selected problems from lectures 9-16.	12.5%	Week 07	-
Outcomes assessed:
Assignment	Assignment 3 Written assignment. Selected problems from lectures 17-24.	12.5%	Week 09	-
Outcomes assessed:
Assignment	Assignment 4 Written assignment. Selected problems from lectures 25-32.	12.5%	Week 12	-
Outcomes assessed:
= Type D final exam ?

Assessment summary

Assignment 1: This assignment will require you to apply information from lectures 1-8 and your reading to solve worked problems.
Assignment 2: This assignment will require you to apply information from lectures 9-16 and your reading to solve worked problems.
Assignment 3: This assignment will require you to apply information from lectures 17-24 and your reading to solve worked problems.
Assignment 4: This assignment will require you to apply information from lectures 25-32 and your reading to solve worked problems.
Final exam: This exam will cover all material in the unit. The exam will mostly consist of worked problems. If a second replacement exam is required, this exam may be delivered via an alternative assessment method, such as a viva voce (oral exam). The alternative assessment will meet the same learning outcomes as the original exam. The format of the alternative assessment will be determined by the unit coordinator.

Assessment criteria

Result name	Mark range	Description
High distinction	85 - 100	At HD level, a student demonstrates a flair for the subject as well as a detailed and comprehensive understanding of the unit material. A ‘High Distinction’ reflects exceptional achievement and is awarded to a student who demonstrates the ability to apply their subject knowledge and understanding to produce original solutions for novel or highly complex problems and/or comprehensive critical discussions of theoretical concepts.
Distinction	75 - 84	At DI level, a student demonstrates an aptitude for the subject and a well-developed understanding of the unit material. A ‘Distinction’ reflects excellent achievement and is awarded to a student who demonstrates an ability to apply their subject knowledge and understanding of the subject to produce good solutions for challenging problems and/or a reasonably well-developed critical analysis of theoretical concepts.
Credit	65 - 74	At CR level, a student demonstrates a good command and knowledge of the unit material. A ‘Credit’ reflects solid achievement and is awarded to a student who has a broad general understanding of the unit material and can solve routine problems and/or identify and superficially discuss theoretical concepts.
Pass	50 - 64	At PS level, a student demonstrates proficiency in the unit material. A ‘Pass’ reflects satisfactory achievement and is awarded to a student who has threshold knowledge.
Fail	0 - 49	When you don’t meet the learning outcomes of the unit to a satisfactory standard.

For more information see guide to grades.

Late submission

In accordance with University policy, these penalties apply when written work is submitted after 11:59pm on the due date:

Deduction of 5% of the maximum mark for each calendar day after the due date.
After ten calendar days late, a mark of zero will be awarded.

This unit has an exception to the standard University policy or supplementary information has been provided by the unit coordinator. This information is displayed below:

Academic integrity

The Current Student website provides information on academic integrity and the resources available to all students. The University expects students and staff to act ethically and honestly and will treat all allegations of academic integrity breaches seriously.

We use similarity detection software to detect potential instances of plagiarism or other forms of academic integrity breach. If such matches indicate evidence of plagiarism or other forms of academic integrity breaches, your teacher is required to report your work for further investigation.

You may only use artificial intelligence and writing assistance tools in assessment tasks if you are permitted to by your unit coordinator, and if you do use them, you must also acknowledge this in your work, either in a footnote or an acknowledgement section.

Studiosity is permitted for postgraduate units unless otherwise indicated by the unit coordinator. The use of this service must be acknowledged in your submission.

Learning support

Simple extensions

If you encounter a problem submitting your work on time, you may be able to apply for an extension of five calendar days through a simple extension.  The application process will be different depending on the type of assessment and extensions cannot be granted for some assessment types like exams.

Special consideration

If exceptional circumstances mean you can’t complete an assessment, you need consideration for a longer period of time, or if you have essential commitments which impact your performance in an assessment, you may be eligible for special consideration or special arrangements.

Special consideration applications will not be affected by a simple extension application.

Using AI responsibly

Co-created with students, AI in Education includes lots of helpful examples of how students use generative AI tools to support their learning. It explains how generative AI works, the different tools available and how to use them responsibly and productively.

Weekly schedule

WK	Topic	Learning activity
Week 01	Classical field theories	Lecture and tutorial (4 hr)
Week 02	Classical field theories	Lecture and tutorial (4 hr)
Week 03	Classical field theories	Lecture and tutorial (4 hr)
Week 04	Canonical quantization of free fields	Lecture and tutorial (4 hr)
Week 05	Canonical quantization of free fields	Lecture and tutorial (2 hr)
Week 05	Interacting fields	Lecture and tutorial (2 hr)
Week 06	Quantum Electrodynamics (QED)	Lecture and tutorial (4 hr)
Week 07	Quantum Electrodynamics (QED)	Lecture and tutorial (2 hr)
Week 09	Path integral quantisation and the renormalisation group	Lecture and tutorial (2 hr)
Week 10	Path integral quantisation and the renormalisation group	Lecture and tutorial (4 hr)

Study commitment

Typically, there is a minimum expectation of 1.5-2 hours of student effort per week per credit point for units of study offered over a full semester. For a 6 credit point unit, this equates to roughly 120-150 hours of student effort in total.

Required readings

All readings for this unit can be accessed through the Library eReserve, available on Canvas.

L.H. Ryder, Quantum Field Theory, Cambridge University Press, 2nd edition; (1996)
F. Mandl and G. Shaw: Quantum Field Theory, Wiley-Blackwell; 2nd edition (2010)
M.E. Peskin and D.V. Schroeder: An Introduction to quantum field theory, Adison-Wesley (1995)

Learning outcomes

Learning outcomes are what students know, understand and are able to do on completion of a unit of study. They are aligned with the University's graduate qualities and are assessed as part of the curriculum.

Outcomes
Graduate qualities

At the completion of this unit, you should be able to:

LO1. Show the conceptual background and technical skills needed to approach research on particle physics and fundamental interactions as well as other fields of physics
LO2. Explain contemporary notions of particles and interactions within the framework of canonical quantisation
LO3. Represent quantum-mechanical probability amplitudes graphically via Feynman diagrams and calculate experimentally observed quantities such as scattering cross-sections and particle decay rates
LO4. Utilise path integral formalism, renormalisation and renormalisation group in the translation of diverse physics phenomena
LO5. Find and analyse information and judge its reliability and significance
LO6. Communicate scientific information appropriately, both orally and through written work
LO7. Demonstrate a sense of responsibility, ethical behaviour and independence as a learner and as a scientist.

Graduate qualities

The graduate qualities are the qualities and skills that all University of Sydney graduates must demonstrate on successful completion of an award course. As a future Sydney graduate, the set of qualities have been designed to equip you for the contemporary world.

GQ1	Depth of disciplinary expertise Deep disciplinary expertise is the ability to integrate and rigorously apply knowledge, understanding and skills of a recognised discipline defined by scholarly activity, as well as familiarity with evolving practice of the discipline.
GQ2	Critical thinking and problem solving Critical thinking and problem solving are the questioning of ideas, evidence and assumptions in order to propose and evaluate hypotheses or alternative arguments before formulating a conclusion or a solution to an identified problem.
GQ3	Oral and written communication Effective communication, in both oral and written form, is the clear exchange of meaning in a manner that is appropriate to audience and context.
GQ4	Information and digital literacy Information and digital literacy is the ability to locate, interpret, evaluate, manage, adapt, integrate, create and convey information using appropriate resources, tools and strategies.
GQ5	Inventiveness Generating novel ideas and solutions.
GQ6	Cultural competence Cultural Competence is the ability to actively, ethically, respectfully, and successfully engage across and between cultures. In the Australian context, this includes and celebrates Aboriginal and Torres Strait Islander cultures, knowledge systems, and a mature understanding of contemporary issues.
GQ7	Interdisciplinary effectiveness Interdisciplinary effectiveness is the integration and synthesis of multiple viewpoints and practices, working effectively across disciplinary boundaries.
GQ8	Integrated professional, ethical, and personal identity An integrated professional, ethical and personal identity is understanding the interaction between one’s personal and professional selves in an ethical context.
GQ9	Influence Engaging others in a process, idea or vision.

Outcome map

Learning outcomes	Graduate qualities
Learning outcomes

Responding to student feedback

This section outlines changes made to this unit following staff and student reviews.

There has been a minor change to the schedule since this unit was last offered.

Additional information

Work, health and safety

We are governed by the Work Health and Safety Act 2011, Work Health and Safety Regulation 2011 and Codes of Practice. Penalties for non-compliance have increased. Everyone has a responsibility for health and safety at work. The University’s Work Health and Safety policy explains the responsibilities and expectations of workers and others, and the procedures for managing WHS risks associated with University activities.

General Laboratory Safety Rules

No eating or drinking is allowed in any laboratory under any circumstances
A laboratory coat and closed-toe shoes are mandatory
Follow safety instructions in your manual and posted in laboratories
In case of fire, follow instructions posted outside the laboratory door
First aid kits, eye wash and fire extinguishers are located in or immediately outside each laboratory
As a precautionary measure, it is recommended that you have a current tetanus immunisation. This can be obtained from University Health Service: unihealth.usyd.edu.au/

Disclaimer

The University reserves the right to amend units of study or no longer offer certain units, including where there are low enrolment numbers.

To help you understand common terms that we use at the University, we offer an online glossary.

Current students

Overview

Overview

Unit details and rules

Teaching staff

Assessment

Assessment

Assessment summary

Assessment criteria

Late submission

Academic integrity

Learning support

Learning support

Simple extensions

Special consideration

Using AI responsibly

Weekly schedule

Weekly schedule

Study commitment

Required readings

Learning outcomes

Learning outcomes

Graduate qualities

Outcome map

Responding to student feedback

Responding to student feedback

Additional information

Additional information

Work, health and safety

Disclaimer

On this page

Useful links

Media

Student links

About us

Connect

Current students

PHYS4125: Quantum Field Theory

Semester 1, 2022 [Normal day] - Remote

Overview

Overview

Unit details and rules

Teaching staff

Assessment

Assessment

Assessment summary

Assessment criteria

Late submission

Academic integrity

Learning support

Learning support

Simple extensions

Special consideration

Using AI responsibly

Weekly schedule

Weekly schedule

Study commitment

Required readings

Learning outcomes

Learning outcomes

Graduate qualities

Outcome map

Responding to student feedback

Responding to student feedback

Additional information

Additional information

Work, health and safety

Disclaimer

On this page

Useful links

Media

Student links

About us

Connect