Postgraduate Course: Gauge Theories in Particle Physics (PGPH11099)
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  20 
ECTS Credits  10 
Summary  This course covers the field theoretical treatment of the standard model of particle physics. It consists of two threads taught in parallel. The primary focus of the Quantum Electrodynamics (QED) and Quantum Chromodynamics (QCD) thread is perturbative QCD in collider physics, but it starts with QED renormalisation, building on the material taught in Quantum Field Theory (QFT)). The other thread covers electroweak theory and flavour physics, followed by an introduction to nonperturbative techniques via lattice field theory. 
Course description 
This course provides a comprehensive treatment of the field theoretical approach to the Standard Model of particle physics; it is taught in two parallel threads.
The QED and QCD thread begins with path integral quantisation and renormalisation of Quantum Electrodynamics (QED). It then moves on to a detailed study of Quantum Chromodynamics (QCD), beginning with quantisation, Feynman rules and renormalisation, and then applying a wide range of topics in modern perturbative QCD to collider physics, including deep inelastic scattering and Higgs production.
The electroweak physics and lattice field theory thread focuses on the field theoretical construction and application of the standard model of particle physics, including the Goldstone theorem and the Higgs mechanism, weak decays and flavour physics. Further focus is on detailed calculations in perturbation theory and comparison with experiment. The final part of the course provides an introduction to nonperturbative methods via lattice field theory.
Each thread will have two hours of lectures and two hours of tutorial workshops every week, giving a total of 40 lecture hours and 40 tutorial hours. Students are expected to engage with the material presented in lectures by working through and discussing weekly formative problem sheets in the tutorial sessions. There will be a total of 4 summative handins, which will be marked and individual written will be feedback provided on each. Individual feedback will also be administered verbally during tutorial sessions.

Information for Visiting Students
Prerequisites  For wholeyear visiting students, the prerequisites are the same as for UoE students.
For Semester 2 visiting the students: knowledge of perturbative relativistic quantum field theory using both operator and pathintegral formalisms at the level of Quantum Field Theory, and knowledge of group theory and Lie algebras with applications in field theory at the level of Symmetries of Particles and Fields.

High Demand Course? 
Yes 
Course Delivery Information

Academic year 2022/23, Available to all students (SV1)

Quota: None 
Course Start 
Semester 2 
Timetable 
Timetable 
Learning and Teaching activities (Further Info) 
Total Hours:
200
(
Lecture Hours 40,
Seminar/Tutorial Hours 40,
Feedback/Feedforward Hours 2,
Formative Assessment Hours 2,
Summative Assessment Hours 3,
Revision Session Hours 4,
Programme Level Learning and Teaching Hours 4,
Directed Learning and Independent Learning Hours
105 )

Assessment (Further Info) 
Written Exam
100 %,
Coursework
0 %,
Practical Exam
0 %

Additional Information (Assessment) 
100% examination 
Feedback 
There will be a total of 4 summative handins, which will be marked and individual written will be feedback provided on each. Individual feedback will also be administered verbally during tutorial sessions. 
Exam Information 
Exam Diet 
Paper Name 
Hours & Minutes 

Main Exam Diet S2 (April/May)   3:00  
Learning Outcomes
On completion of this course, the student will be able to:
 Understand the field theoretical formulation of the Standard Model of particle physics, namely QED, QCD and electroweak theory, including renormalization of these theories.
 Be familiar with the Standard Model (SM) Lagrangian and able to compute treelevel processes using Feynman diagram techniques.
 Be able to apply these methods to analyse scattering processes within QCD, including understanding of infraredsafety and collinear factorisation.
 Be familiar with the Goldstone theorem, spontaneously broken gauge theories and the Higgs mechanism, the quark model, the flavour sector of the SM, the CabibboKobayashiMaskawa Matrix, and apply their role in phenomenology at present and future colliders like the LHC.
 Understand the need for a nonperturbative formulation of QCD and way this is accomplished by the lattice regularisation of the theory, and be to compute in the strong and weak coupling expansions and appreciate the need for numerical methods.

Reading List
 Burgess and Moore: The Standard Model: A Primer
 Peskin and Schroeder: An Introduction to Quantum Field Theory
 Mark Srednicki, Quantum Field Theory, 2006.
 John Collins, Foundations of Perturbative QCD, 2012.
 Yuri V. Kovchegov, Eugene Levin, Quantum Chromodynamics at High Energy, 2012.
 R. Keith Ellis, W. James Stirling, Bryan R. Webber, QCD and Collider Physics, 1996.

Additional Information
Graduate Attributes and Skills 
On completing this course students will have developed an enhanced ability to evaluate field theoretical concepts and structures as applied to the standard model, and to perform critical analysis of theoretical and experimental outcomes. These skills are directly transferable to generic fields of activity both inside and outside academia.
The advanced concepts and coursework in QED, QCD and electroweak theory engender a unique synergy between self study and groupwork, which is applicable to most areas of productive human activity. Students will develop a fine balance between autonomous learning activity and working cooperatively with their peers in the finer details of difficult concepts, both numerical and conceptual.
During self study hours, students will develop advanced IT skills in the use of publicly available software to identify complementary learning materials. 
Keywords  GTiPP,Quantum Field theory,QED,QCD,electroweak,Higgs,lattice 
Contacts
Course organiser  Prof Richard Ball
Tel: (0131 6)50 5248
Email: R.D.Ball@ed.ac.uk 
Course secretary  Miss Hayley Crawford
Tel: (0131 6)51 7524
Email: hayley.crawford@ed.ac.uk 

