Postgraduate Course: Symmetries of Particles and Fields (PGPH11097)
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  This course sets out the mathematical concepts  Lie groups, Lie algebras and their representations  needed to understand the role of symmetries in particle physics, along with various physical applications, in particular the Lorentz group and SU(3), explicit and spontaneous symmetry breaking, gauge symmetries and the Higgs mechanism. 
Course description 
 Lie Groups; Unitary and Orthogonal Groups; One Dimensional Groups; Translations and Rotations; Generators; Lie Algebras; Representations; SU(2) and SO(3); Scalars, Vectors and Tensors
 Lorentz Group; Spinors and Vectors; Poincare Group
 Invariant Actions; Spin zero fields; Spin half fields; Chiral Symmetry
 Noether's Theorem; Conserved Charges; StressEnergy Tensor
 Real Forms; Compact Lie algebras; Killing form; Casimir Operators; Cartan subalgebra; Roots and Weights; Representations of SU(3)
 Internal Symmetry; Isospin; the Quark Model; the EightFold Way; Mesons and Baryons
 Broken Symmetry; Soft Breaking; Spontaneous Symmetry Breakdown; Goldstone's Theorem
 Local Symmetry; Maxwell's equations; YangMills Theory; Higgs' mechanism

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

Academic year 2018/19, 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 20,
Summative Assessment Hours 2,
Revision Session Hours 2,
Programme Level Learning and Teaching Hours 2,
Directed Learning and Independent Learning Hours
52 )

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 concepts underlying the mathematical description of symmetries via groups, algebras and their representations.
 Be able to apply these mathematical tools in the context of particle physics, notably to work with the different representations of the Lorentz group and with local and global SU(N) symmetries.
 Understand the concepts of explicit and spontaneous symmetry breaking and their physical consequences, including the Higgs mechanism for mass generation for a general gauge group.

Additional Information
Graduate Attributes and Skills 
Not entered 
Keywords  SoPF 
Contacts
Course organiser  Dr Brian Pendleton
Tel: (0131 6)50 5241
Email: Brian.Pendleton@ed.ac.uk 
Course secretary  Ms Wendy Hisbent
Tel: (0131 6)51 3448
Email: w.hisbent@ed.ac.uk 

