Postgraduate Course: Modern Quantum Field Theory (PGPH11094)
Course Outline
School  School of Physics and Astronomy 
College  College of Science and Engineering 
Credit level (Normal year taken)  SCQF Level 11 (Postgraduate) 
Availability  Available to all students 
SCQF Credits  10 
ECTS Credits  5 
Summary  The course introduces path integral methods in quantum field theory. This modern approach (as opposed to canonical quantisation) allows the relatively simple quantisation of gauge theories and forms an essential tool for the understanding and development of the 'standard model' of particle physics. Topics include: Path integral formalism, Feynman rules, LSZ formalism, loop diagrams and divergencies, regularisation and renormalisation, gauge theories, running coupling constant. 
Course description 
 Path Integrals for quantum mechanics and quantum field theory, Green's functions and generating functionals for free scalar fields
 Interacting scalar fields, Feynman rules/diagrams, connected and oneparticleirreducible Green's functions
 Path integrals for fermions, Grassmann variables, Yukawa interactions
 Spectral functions, in/out states, reduction formulae (LSZ formalism), Smatrix
 One loop Feynman diagrams for scalar theories, divergencies, dimensional regularisation, renormalisation, renormalisation group, beta and gamma functions, Landau poles, infra red and ultraviolet fixed points
 Path integrals for gauge theories, gauge fixing, FaddeevPopov factors, Feynman rules, renormalisation, renormalisation group, betafunction and asymptotic freedom (running coupling constant)

Information for Visiting Students
Prerequisites  None 
High Demand Course? 
Yes 
Course Delivery Information

Academic year 2015/16, Available to all students (SV1)

Quota: None 
Course Start 
Semester 2 
Timetable 
Timetable 
Learning and Teaching activities (Further Info) 
Total Hours:
100
(
Lecture Hours 22,
Seminar/Tutorial Hours 22,
Summative Assessment Hours 2,
Revision Session Hours 2,
Programme Level Learning and Teaching Hours 2,
Directed Learning and Independent Learning Hours
50 )

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

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

Main Exam Diet S2 (April/May)   2:00  
Learning Outcomes
On completion of this course, the student will be able to:
 Understand the notion of a path integral in quantum mechanics and field theory and the connection between the path integral formalism and the operator (scattering) formalism.
 Understand perturbation theory, Feynman rules and diagrams from the path integral viewpoint.
 Be familar with the problem of ultraviolet divergencies in quantum field theories and renormalisation
 Understand the origin of infrared divergences in quantum field theories with massless degrees of freedom
 Be familiar with renormalization in a variety of QFTs including scalar field theories, as well as Yukawa and gauge filed theories.

Learning Resources
``An Introduction to Quantum Field Theory,'' M.E. Peskin and D.V. Schroeder, AddisonWesley, 1996.
``Quantum Field Theory," M. Srednicki, Cambridge University Press, 2007.
``Introduction to Gauge Field Theory'', D. Bailin and A. Love, Adam Hilger, 1986.
``Quantum Field Theory'', L.H. Ryder, Cambridge University Press, 1985.
``Gauge Theory of Elementary Particle Physics,'' T.P. Cheng and L.F. Li, Oxford, 1984. 
Additional Information
Graduate Attributes and Skills 
Not entered 
Keywords  MQFT 
Contacts
Course organiser  Dr Einan Gardi
Tel: (0131 6)50 6469
Email: Einan.Gardi@ed.ac.uk 
Course secretary  Yuhua Lei
Tel: (0131 6) 517067
Email: yuhua.lei@ed.ac.uk 

