Postgraduate Course: Quantum Chromodynamics (PGPH11096)
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 first part of the QCD course builds upon the knowledge acquired in Relativistic QFT to compute treelevel cross sections, and applies it to collider physics applications. The second part of the course lays the foundations of Lattice QCD. 
Course description 
 Local gauge invariance, QCD Lagrangian, Feynman rules.
 Colour algebra, colour Fierz identity, the doubleline notation, the large Nc limit
 Spinor helicity method; treelevel amplitudes; recursion relations.
 The beta function and the running coupling constant.
 e+e annihilation to hadrons: total cross sections; jet cross sections; infrared safety, event shape variables.
 Deep inelastic scattering structure functions, collinear factorization, parton density functions, splitting functions, scaling violation and the AltarelliParisi equations.
 DrellYan and Higgs production.
 Why we need nonperturbative methods in QCD [large coupling and RG argument for hadron masses].
 Relation between QM in imaginary time and equilibrium statistical mechanics, the transfer matrix.
 Scalar fields on the lattice: action, classical continuum limit, path integral for free lattice scalar field, the "boson determinant", continuum limit obtained at continuous phase transitions, universality.
 Fermion fields on the lattice: naive+doubling, Wilson, staggered, NielsenNinomiya theorem, domainwall/overlap/GinspargWilson. Fermion path integral, fermion determinant, pseudofermions.
 Gauge fields on the lattice: Wilson action, classical continuum limit, strong coupling expansion  string tension and glueball masses. Inclusion of fermions  hopping parameter expansion. Weak coupling expansion, lambda parameters. (Anomalies?)
 QCD on the lattice: twopoint hadron correlators » masses and decay constants; threepoint hadron correlators » matrix elements, form factors. Examples: semileptonic decays, neutral kaon mixing.
 Numerical techniques: Markov Chain Monte Carlo  MetropolisHastings for pure QCD (and quenched approximation); Hybrid Monte Carlo for full QCD. Critical slowing down in continuum and chiral limits  topological charge.

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 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 
Comments on returned coursework. Interaction at workshops. 
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:
 Know the field theoretical formulation of QCD, the theory of the strong interactions.
 Be able to compute treelevel processes in QCD using Feynman diagram techniques.
 Be able to apply these methods to analyse scattering processes within QCD, including understanding of infrared safety and collinear factorization.
 Understand the need for a nonperturbative formulation of QCD and way this is accomplished by the lattice regularization of the theory.
 Be able to compute in the strong and weak coupling expansions and appreciate the need for numerical methods.

Additional Information
Graduate Attributes and Skills 
Not entered 
Keywords  QCD 
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 

