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. 
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
 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 fermions, Grassmann variables, Yukawa interactions

Information for Visiting Students
Prerequisites  None 
High Demand Course? 
Yes 
Course Delivery Information
Not being delivered 
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  Prof Einan Gardi
Tel: (0131 6)50 6469
Email: Einan.Gardi@ed.ac.uk 
Course secretary  Ms Wendy Hisbent
Tel: (0131 6)50 5783
Email: w.hisbent@ed.ac.uk 

