Undergraduate Course: Relativistic Quantum Field Theory (PHYS11021)
Course Outline
School  School of Physics and Astronomy 
College  College of Science and Engineering 
Credit level (Normal year taken)  SCQF Level 11 (Year 5 Undergraduate) 
Availability  Available to all students 
SCQF Credits  10 
ECTS Credits  5 
Summary  This course begins with a review of relativistic wave equations. It introduces the Lagrangian formulation for classical fields and then discusses the quantisation of free fields with spins 0, 1/2 and 1. An outline is given of perturbation theory for interacting fields and Feynman diagram methods for Quantum Electrodynamics are introduced. 
Course description 
 Introduction and revision
 Classical Lagrangian field theory.
 Lorentz covariance of relativistic field equations.
 Quantisation of the KleinGordon field.
 Quantisation of the Dirac field.
 The Electromagnetic field.
 Interacting fields.
 Feynman diagrams.
 Transition rates and crosssections.

Information for Visiting Students
Prerequisites  None 
Course Delivery Information

Academic year 2014/15, Available to all students (SV1)

Quota: None 
Course Start 
Semester 1 
Timetable 
Timetable 
Learning and Teaching activities (Further Info) 
Total Hours:
100
(
Lecture Hours 22,
Seminar/Tutorial Hours 11,
Summative Assessment Hours 2,
Revision Session Hours 2,
Programme Level Learning and Teaching Hours 2,
Directed Learning and Independent Learning Hours
61 )

Assessment (Further Info) 
Written Exam
80 %,
Coursework
20 %,
Practical Exam
0 %

Additional Information (Assessment) 
Degree Examination 80%
Coursework 20% 
Feedback 
Not entered 
Exam Information 
Exam Diet 
Paper Name 
Hours & Minutes 

Main Exam Diet S2 (April/May)  Relativistic Quantum Field Theory  2:00  

Academic year 2014/15, Partyear visiting students only (VV1)

Quota: None 
Course Start 
Semester 1 
Timetable 
Timetable 
Learning and Teaching activities (Further Info) 
Total Hours:
100
(
Lecture Hours 22,
Seminar/Tutorial Hours 11,
Summative Assessment Hours 2,
Revision Session Hours 2,
Programme Level Learning and Teaching Hours 2,
Directed Learning and Independent Learning Hours
61 )

Assessment (Further Info) 
Written Exam
80 %,
Coursework
20 %,
Practical Exam
0 %

Additional Information (Assessment) 
Degree Examination 80%
Coursework 20% 
Feedback 
Not entered 
Exam Information 
Exam Diet 
Paper Name 
Hours & Minutes 

Main Exam Diet S1 (December)  Relativistic Quantum Field Theory (VS1)  2:00  
Learning Outcomes
On successful completion of this course a student will be able to:
1)Appreciate the need for a fieldtheoretical approach to relativistic quantum theory
2)Write down the Lagrangian and derive the field equations for scalar, spinor and vector fields, demonstrate Lorentz covariance of the field equations
3)Derive and appreciate the significance of Noether's theorem
4)Quantise the real and complex scalar fields using canonical commutation relations, derive the quantum Hamiltonian, interpret the spectrum, appreciate relativistic normalisation
5)Derive the conserved current and charge operators for the complex scalar field and explain the connection between charge conservation and symmetry
6)Derive the propagator for real and complex scalar fields
7)Quantise the Dirac field using anticommutators, derive the Hamiltonian, interpret the spectrum, derive the conserved current and charge operator, appreciate the connection between charge conservation and symmetry, derive the propagator for the Dirac field
8)Understand the difficulties of em field quantisation due to gauge invariance, quantise the EM field using the GuptaBleuler formalism, derive the Hamiltonian, spectrum, and propagator
9)Explain the minimal coupling presciption for adding electromagnetic interactions, understand the gauge principle
10)Understand the interaction picture, the Smatrix, Wick's Theorem
11)Explain the origin of Feynman diagrams and Feynman rules; draw the Feynman diagrams for Compton scattering, electron scattering, electron and photon selfenergies
12)Apply the Feynman rules to derive the amplitudes for elementary processes in QED
13)Explain the origin of the expressions for the transition rate, decay rates and unpolarised cross section
14)Apply all of the above to unseen problems in relativistic quantum field theory

Additional Information
Graduate Attributes and Skills 
Not entered 
Additional Class Delivery Information 
Workshop/tutorial sessions, as arranged. 
Keywords  RQFT 
Contacts
Course organiser  Prof Anthony Kennedy
Tel: (0131 6)50 5272
Email: Tony.Kennedy@ed.ac.uk 
Course secretary  Yuhua Lei
Tel: (0131 6) 517067
Email: yuhua.lei@ed.ac.uk 

